Deutsch, Frank; Hundal, Hein; Zikatanov, Ludmil Some applications of the Hahn-Banach separation theorem. (English) Zbl 1485.46080 Appl. Anal. Optim. 2, No. 2, 199-218 (2018). MSC: 46N10 41A65 52A27 PDFBibTeX XMLCite \textit{F. Deutsch} et al., Appl. Anal. Optim. 2, No. 2, 199--218 (2018; Zbl 1485.46080) Full Text: arXiv Link
Deutsch, Frank; Ubhaya, Vasant Characterizing best isotone approximations in \(L_p\) spaces, \(1 \leq p < \infty\). (English) Zbl 1358.41028 J. Approx. Theory 203, 1-27 (2016). Reviewer: Constantin Zălinescu (Iaşi) MSC: 41A65 52A27 PDFBibTeX XMLCite \textit{F. Deutsch} and \textit{V. Ubhaya}, J. Approx. Theory 203, 1--27 (2016; Zbl 1358.41028) Full Text: DOI
Deutsch, Frank; Hundal, Hein Arbitrarily slow convergence of sequences of linear operators. (English) Zbl 1323.41033 Reich, Simeon (ed.) et al., Infinite products of operators and their applications. A research workshop of the Israel Science Foundation, Haifa, Israel, May 21–24, 2012. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-1480-1/pbk; 978-1-4704-2275-2/ebook). Contemporary Mathematics 636. Israel Mathematical Conference Proceedings, 93-120 (2015). MSC: 41A65 41A25 46N10 41A36 PDFBibTeX XMLCite \textit{F. Deutsch} and \textit{H. Hundal}, Contemp. Math. 636, 93--120 (2015; Zbl 1323.41033)
Deutsch, Frank; Hundal, Hein A generalization of Tyuriemskih’s lethargy theorem and some applications. (English) Zbl 1279.41023 Numer. Funct. Anal. Optim. 34, No. 9, 1033-1040 (2013). Reviewer: Francisco Marcellán (Leganes) MSC: 41A25 41A65 41A36 PDFBibTeX XMLCite \textit{F. Deutsch} and \textit{H. Hundal}, Numer. Funct. Anal. Optim. 34, No. 9, 1033--1040 (2013; Zbl 1279.41023) Full Text: DOI
Deutsch, Frank; Hundal, Hein Arbitrarily slow convergence of sequences of linear operators: a survey. (English) Zbl 1251.47017 Bauschke, Heinz H. (ed.) et al., Fixed-point algorithms for inverse problems in science and engineering. Based on the presentations at the interdisciplinary workshop, BIRS, Banff, Canada, November 1–6, 2009. New York, NY: Springer (ISBN 978-1-4419-9568-1/hbk; 978-1-4419-9569-8/ebook). Springer Optimization and Its Applications 49, 213-242 (2011). MSC: 47A58 41A65 40A05 41A25 41A36 41-02 65J10 PDFBibTeX XMLCite \textit{F. Deutsch} and \textit{H. Hundal}, Springer Optim. Appl. 49, 213--242 (2011; Zbl 1251.47017) Full Text: DOI
Deutsch, Frank; Hundal, Hein Slow convergence of sequences of linear operators. II: Arbitrarily slow convergence. (English) Zbl 1208.41013 J. Approx. Theory 162, No. 9, 1717-1738 (2010). Reviewer: Daniel Wulbert (La Jolla) MSC: 41A45 PDFBibTeX XMLCite \textit{F. Deutsch} and \textit{H. Hundal}, J. Approx. Theory 162, No. 9, 1717--1738 (2010; Zbl 1208.41013) Full Text: DOI
Deutsch, Frank; Hundal, Hein Slow convergence of sequences of linear operators. I: Almost arbitrarily slow convergence. (English) Zbl 1205.41026 J. Approx. Theory 162, No. 9, 1701-1716 (2010). Reviewer: George Stoica (Saint John) MSC: 41A45 PDFBibTeX XMLCite \textit{F. Deutsch} and \textit{H. Hundal}, J. Approx. Theory 162, No. 9, 1701--1716 (2010; Zbl 1205.41026) Full Text: DOI
Bauschke, Heinz H.; Deutsch, Frank; Hundal, Hein Characterizing arbitrarily slow convergence in the method of alternating projections. (English) Zbl 1208.47079 Int. Trans. Oper. Res. 16, No. 4, 413-425 (2009). Reviewer: Michael Karlov (Moskva) MSC: 47N10 90C25 47H09 49J53 41A65 47A50 PDFBibTeX XMLCite \textit{H. H. Bauschke} et al., Int. Trans. Oper. Res. 16, No. 4, 413--425 (2009; Zbl 1208.47079) Full Text: DOI arXiv
Deutsch, Frank; Hundal, Hein Results on the rate of convergence of the cyclic projections algorithm. (English) Zbl 1348.41022 Neamtu, Marian (ed.) et al., Approximation theory XII. Proceedings of the 12th international conference, San Antonio, TX, USA, March 4–8, 2007. Brentwood, TN: Nashboro Press (ISBN 978-0-9728482-9-9/hbk). Modern Methods in Mathematics, 87-120 (2008). MSC: 41A65 46B20 46N10 47H09 PDFBibTeX XMLCite \textit{F. Deutsch} and \textit{H. Hundal}, in: Approximation theory XII. Proceedings of the 12th international conference, San Antonio, TX, USA, March 4--8, 2007. Brentwood, TN: Nashboro Press. 87--120 (2008; Zbl 1348.41022)
Deutsch, Frank; Hundal, Hein The rate of convergence for the cyclic projections algorithm. II: Norms of nonlinear operators. (English) Zbl 1109.41017 J. Approximation Theory 142, No. 1, 56-82 (2006). Reviewer: Daniel Wulbert (La Jolla) MSC: 41A50 41A60 PDFBibTeX XMLCite \textit{F. Deutsch} and \textit{H. Hundal}, J. Approx. Theory 142, No. 1, 56--82 (2006; Zbl 1109.41017) Full Text: DOI
Deutsch, Frank; Hundal, Hein The rate of convergence for the cyclic projections algorithm. I: Angles between convex sets. (English) Zbl 1109.41016 J. Approximation Theory 142, No. 1, 36-55 (2006). Reviewer: Daniel Wulbert (La Jolla) MSC: 41A50 41A60 PDFBibTeX XMLCite \textit{F. Deutsch} and \textit{H. Hundal}, J. Approx. Theory 142, No. 1, 36--55 (2006; Zbl 1109.41016) Full Text: DOI
Bakan, Andrew; Deutsch, Frank; Li, Wu Strong CHIP, normality, and linear regularity of convex sets. (English) Zbl 1094.90030 Trans. Am. Math. Soc. 357, No. 10, 3831-3863 (2005). MSC: 90C25 41A65 52A15 52A20 41A29 PDFBibTeX XMLCite \textit{A. Bakan} et al., Trans. Am. Math. Soc. 357, No. 10, 3831--3863 (2005; Zbl 1094.90030) Full Text: DOI
Deutsch, Frank; Schumaker, Larry L.; Ziegler, Zvi Approximating weak Chebyshev subspaces by Chebyshev subspaces. (English) Zbl 1029.41015 J. Approximation Theory 123, No. 2, 188-213 (2003). Reviewer: Yuly Makovoz (Lowell) MSC: 41A50 41A65 PDFBibTeX XMLCite \textit{F. Deutsch} et al., J. Approx. Theory 123, No. 2, 188--213 (2003; Zbl 1029.41015) Full Text: DOI
Bauschke, Heinz H.; Deutsch, Frank; Hundal, Hein; Park, Sung-Ho Accelerating the convergence of the method of alternating projections. (English) Zbl 1033.41019 Trans. Am. Math. Soc. 355, No. 9, 3433-3461 (2003). Reviewer: Yuly Makovoz (Lowell) MSC: 41A65 PDFBibTeX XMLCite \textit{H. H. Bauschke} et al., Trans. Am. Math. Soc. 355, No. 9, 3433--3461 (2003; Zbl 1033.41019) Full Text: DOI
Brown, A. L.; Deutsch, Frank; Indumathi, V.; Kenderov, Petar S. Lower semicontinuity concepts, continuous selections, and set valued metric projections. (English) Zbl 1001.41021 J. Approximation Theory 115, No. 1, 120-143 (2002). Reviewer: Daniel Wulbert (La Jolla) MSC: 41A65 PDFBibTeX XMLCite \textit{A. L. Brown} et al., J. Approx. Theory 115, No. 1, 120--143 (2002; Zbl 1001.41021) Full Text: DOI
Deutsch, Frank Best approximation in inner product spaces. (English) Zbl 0980.41025 CMS Books in Mathematics/Ouvrages de Mathématiques de la SMC. 7. New York, NY: Springer. xv, 338 p. (2001). Reviewer: A.L.Brown (Chandigarh) MSC: 41A50 41-01 46C05 PDFBibTeX XMLCite \textit{F. Deutsch}, Best approximation in inner product spaces. New York, NY: Springer (2001; Zbl 0980.41025) Backlinks: MO
Deutsch, Frank; Li, Wu; Ward, Joseph D. Best approximation from the intersection of a closed convex set and a polyhedron in Hilbert space, weak Slater conditions, and the strong conical hull intersection property. (English) Zbl 0957.41025 SIAM J. Optim. 10, No. 1, 252-268 (1999). Reviewer: Ioan Şerb (Cluj-Napoca) MSC: 41A65 41A29 90C25 PDFBibTeX XMLCite \textit{F. Deutsch} et al., SIAM J. Optim. 10, No. 1, 252--268 (1999; Zbl 0957.41025) Full Text: DOI
Deutsch, Frank The role of the strong conical hull intersection property in convex optimization and approximation. (English) Zbl 0929.49009 Chui, Charles K. (ed.) et al., Approximation theory IX. Volume 1. Theoretical aspects. Proceedings of the 9th international conference, Nashville, TN, USA, January 3–6, 1998. Nashville, TN: Vanderbilt University Press. Innovations in Applied Mathematics. 105-112 (1998). Reviewer: D.K.Ugulawa (Tbilisi) MSC: 49K27 41A50 PDFBibTeX XMLCite \textit{F. Deutsch}, in: Approximation theory IX. Volume 1. Theoretical aspects. Proceedings of the 9th international conference, Nashville, TN, USA, January 3--6, 1998. Nashville, TN: Vanderbilt University Press. 105--112 (1998; Zbl 0929.49009)
Hundal, Hein; Deutsch, Frank Two generalizations of Dykstra’s cyclic projections algorithm. (English) Zbl 0891.90164 Math. Program. 77, No. 3 (A), 335-355 (1997). MSC: 90C48 41A50 PDFBibTeX XMLCite \textit{H. Hundal} and \textit{F. Deutsch}, Math. Program. 77, No. 3 (A), 335--355 (1997; Zbl 0891.90164)
Brosowski, Bruno; Deutsch, Frank Rivlin’s problem. (English) Zbl 0883.41005 Ann. Numer. Math. 4, No. 1-4, 95-109 (1997). Reviewer: Shi Ying-Guang (Beijing) MSC: 41A10 41A28 PDFBibTeX XMLCite \textit{B. Brosowski} and \textit{F. Deutsch}, Ann. Numer. Math. 4, No. 1--4, 95--109 (1997; Zbl 0883.41005)
Deutsch, Frank; Li, Wu; Ward, Joseph D. A dual approach to constrained interpolation from a convex subset of Hilbert space. (English) Zbl 0884.41019 J. Approximation Theory 90, No. 3, 385-414 (1997). Reviewer: I.Şerb (Cluj-Napoca) MSC: 41A65 41A50 46B20 PDFBibTeX XMLCite \textit{F. Deutsch} et al., J. Approx. Theory 90, No. 3, 385--414 (1997; Zbl 0884.41019) Full Text: DOI
Deutsch, F.; Ubhaya, V. A.; Ward, J. D.; Xu, Yuesheng Constrained best approximation in Hilbert space III. Applications of \(n\)-convex functions. (English) Zbl 0995.41500 Constructive Approximation 12, No. 3, 361-384 (1996). MSC: 41A65 41A29 PDFBibTeX XMLCite \textit{F. Deutsch} et al., Constr. Approx. 12, No. 3, 361--384 (1996; Zbl 0995.41500)
Deutsch, Frank; Mabizela, Sizwe Best interpolatory approximation in normed linear spaces. (English) Zbl 0851.41023 J. Approximation Theory 85, No. 3, 250-268 (1996). Reviewer: I.Serb (Cluj-Napoca) MSC: 41A50 41A65 PDFBibTeX XMLCite \textit{F. Deutsch} and \textit{S. Mabizela}, J. Approx. Theory 85, No. 3, 250--268 (1996; Zbl 0851.41023) Full Text: DOI
Deutsch, Frank The angle between subspaces of a Hilbert space. (English) Zbl 0848.46010 Singh, S. P. (ed.) et al., Approximation theory, wavelets and applications. Proceedings of the NATO Advanced Study Institute on recent developments in approximation theory, wavelets and applications, Maratea, Italy, May 16-26, 1994. Dordrecht: Kluwer Academic Publishers. NATO ASI Ser., Ser. C, Math. Phys. Sci. 454, 107-130 (1995). MSC: 46C05 47A05 41A15 PDFBibTeX XMLCite \textit{F. Deutsch}, NATO ASI Ser., Ser. C, Math. Phys. Sci. 454, 107--130 (1995; Zbl 0848.46010) Backlinks: MO
Deutsch, Frank Interpolation from a convex subset of Hilbert space: A survey of some recent results. (English) Zbl 0846.41027 Singh, S. P. (ed.) et al., Approximation theory, wavelets and applications. Proceedings of the NATO Advanced Study Institute on recent developments in approximation theory, wavelets and applications, Maratea, Italy, May 16-26, 1994. Dordrecht: Kluwer Academic Publishers. NATO ASI Ser., Ser. C, Math. Phys. Sci. 454, 95-105 (1995). Reviewer: I.Serb (Cluj-Napoca) MSC: 41A65 46C05 PDFBibTeX XMLCite \textit{F. Deutsch}, NATO ASI Ser., Ser. C, Math. Phys. Sci. 454, 95--105 (1995; Zbl 0846.41027)
Deutsch, Frank Dykstra’s cyclic projections algorithm: The rate of convergence. (English) Zbl 0871.41023 Singh, S. P. (ed.) et al., Approximation theory, wavelets and applications. Proceedings of the NATO Advanced Study Institute on recent developments in approximation theory, wavelets and applications, Maratea, Italy, May 16-26, 1994. Dordrecht: Kluwer Academic Publishers. NATO ASI Ser., Ser. C, Math. Phys. Sci. 454, 87-94 (1995). Reviewer: B.Rubin (Jerusalem) MSC: 41A65 46C05 PDFBibTeX XMLCite \textit{F. Deutsch}, NATO ASI Ser., Ser. C, Math. Phys. Sci. 454, 87--94 (1995; Zbl 0871.41023)
Deutsch, Frank; Ubhaya, Vasant A.; Xu, Yuesheng Dual cones, constrained \(n\)-convex, \(L_ p\)-approximation, and perfect splines. (English) Zbl 0824.41020 J. Approximation Theory 80, No. 2, 180-203 (1995). Reviewer: E.Quak (Schwerte) MSC: 41A29 41A15 41A30 PDFBibTeX XMLCite \textit{F. Deutsch} et al., J. Approx. Theory 80, No. 2, 180--203 (1995; Zbl 0824.41020) Full Text: DOI
Deutsch, Frank; Zhong, Jun Best comonotone approximation. (English) Zbl 0807.41015 Trans. Am. Math. Soc. 344, No. 2, 617-627 (1994). Reviewer: P.Narain (Bombay) MSC: 41A50 41A29 PDFBibTeX XMLCite \textit{F. Deutsch} and \textit{J. Zhong}, Trans. Am. Math. Soc. 344, No. 2, 617--627 (1994; Zbl 0807.41015) Full Text: DOI
Deutsch, Frank; Hundal, Hein The rate of convergence of Dykstra’s cyclic projections algorithm: The polyhedral case. (English) Zbl 0807.41019 Numer. Funct. Anal. Optimization 15, No. 5-6, 537-565 (1994). MSC: 41A65 47N10 49M30 PDFBibTeX XMLCite \textit{F. Deutsch} and \textit{H. Hundal}, Numer. Funct. Anal. Optim. 15, No. 5--6, 537--565 (1994; Zbl 0807.41019) Full Text: DOI
Deutsch, Frank The convexity of Chebyshev sets in Hilbert space. (English) Zbl 0859.41027 Rassias, Th. M. (ed.) et al., Topics in polynomials of one and several variables and their applications. Volume dedicated to the memory of P. L. Chebyshev (1821-1894). Singapore: World Scientific. 143-150 (1993). MSC: 41A65 41-02 46C05 PDFBibTeX XMLCite \textit{F. Deutsch}, in: Topics in polynomials of one and several variables and their applications. Volume dedicated to the memory of P. L. Chebyshev (1821-1894). Singapore: World Scientific. 143--150 (1993; Zbl 0859.41027)
Deutsch, Frank; Li, Wu; Mabizela, Sizwe Helly extensions and best approximation. (English) Zbl 0843.41019 Guddat, Jürgen (ed.) et al., Parametric optimization and related topics. III. Proceedings of the 3rd conference held in Güstrow, Germany, August 30 - September 5, 1991. Frankfurt am Main: Peter Lang Verlag. Approximation Optimization. 3, 107-120 (1993). Reviewer: D.Wulbert (La Jolla) MSC: 41A50 PDFBibTeX XMLCite \textit{F. Deutsch} et al., in: Parametric optimization and related topics. III. Proceedings of the 3rd conference held in Güstrow, Germany, August 30 - September 5, 1991. Frankfurt am Main: Peter Lang Verlag. 107--120 (1993; Zbl 0843.41019)
Chui, Charles K.; Deutsch, Frank; Ward, Joseph D. Constrained best approximation in Hilbert space. II. (English) Zbl 0796.41026 J. Approximation Theory 71, No. 2, 213-238 (1992). Reviewer: Zhang Ganglu (Dongying) MSC: 41A65 41A50 PDFBibTeX XMLCite \textit{C. K. Chui} et al., J. Approx. Theory 71, No. 2, 213--238 (1992; Zbl 0796.41026) Full Text: DOI
Deutsch, Frank Constrained \(N\)-convex approximation. (English) Zbl 0761.41028 Approximation theory, Proc. 6th Southeast. Approximation Theory Conf., Memphis/TN (USA) 1991, Lect. Notes Pure Appl. Math. 138, 275-284 (1992). Reviewer: L.Leindler (Szeged) MSC: 41A50 41A65 PDFBibTeX XMLCite \textit{F. Deutsch}, Lect. Notes Pure Appl. Math. 138, 275--284 (1992; Zbl 0761.41028)
Deutsch, Frank Selections for metric projections. (English) Zbl 0751.41030 Approximation theory, spline functions and applications, Proc. NATO Adv. Study Inst., Maratea/Italy 1991, NATO ASI Ser., Ser. C 356, 123-137 (1992). MSC: 41A65 PDFBibTeX XMLCite \textit{F. Deutsch}, in: Approximation theory, spline functions and applications. Proceedings of the NATO Advanced Study Institute, held in Maratea, Italy, April 28-May 9, 1991. Dordrecht etc.: Kluwer Academic Publishers. 123--137 (1992; Zbl 0751.41030)
Deutsch, Frank The method of alternating orthogonal projections. (English) Zbl 0751.41031 Approximation theory, spline functions and applications, Proc. NATO Adv. Study Inst., Maratea/Italy 1991, NATO ASI Ser., Ser. C 356, 105-121 (1992). MSC: 41A65 PDFBibTeX XMLCite \textit{F. Deutsch}, in: Approximation theory, spline functions and applications. Proceedings of the NATO Advanced Study Institute, held in Maratea, Italy, April 28-May 9, 1991. Dordrecht etc.: Kluwer Academic Publishers. 105--121 (1992; Zbl 0751.41031)
Deutsch, Frank; Li, Wu; Park, Sung-Ho Tietze extensions and continuous selections for metric projections. (English) Zbl 0731.41034 J. Approximation Theory 64, No. 1, 55-68 (1991). Reviewer: S.Cobzaş (Cluj-Napoca) MSC: 41A65 46B20 46E10 PDFBibTeX XMLCite \textit{F. Deutsch} et al., J. Approx. Theory 64, No. 1, 55--68 (1991; Zbl 0731.41034) Full Text: DOI
Deutsch, Frank; Li, Wu Strong uniqueness, Lipschitz continuity, and continuous selections for metric projections in \(L_1\). (English) Zbl 0737.41035 J. Approx. Theory 66, No. 2, 198-224 (1991). Reviewer: Stefan Cobzaş (Cluj-Napoca) MSC: 41A65 54C55 54C60 PDFBibTeX XMLCite \textit{F. Deutsch} and \textit{W. Li}, J. Approx. Theory 66, No. 2, 198--224 (1991; Zbl 0737.41035) Full Text: DOI
Chui, Charles K.; Deutsch, Frank; Ward, Joseph D. Constrained best approximation in Hilbert space. (English) Zbl 0682.41034 Constructive Approximation 6, No. 1, 35-64 (1990). MSC: 41A50 41A65 41A27 41A05 PDFBibTeX XMLCite \textit{C. K. Chui} et al., Constr. Approx. 6, No. 1, 35--64 (1990; Zbl 0682.41034) Full Text: DOI
Deutsch, Frank Constrained best approximation. (English) Zbl 0705.41026 Approximation theory VI, Proc. 6th Int. Symp., College Station/TX (USA) 1989, Vol. I, 165-173 (1989). MSC: 41A50 PDFBibTeX XML
Deutsch, Frank; Li, Wu; Park, Sung-Ho Characterizations of continuous and Lipschitz continuous metric selections in normed linear spaces. (English) Zbl 0701.41045 J. Approximation Theory 58, No. 3, 297-314 (1989). Reviewer: E.Deeba MSC: 41A65 PDFBibTeX XMLCite \textit{F. Deutsch} et al., J. Approx. Theory 58, No. 3, 297--314 (1989; Zbl 0701.41045) Full Text: DOI
Deutsch, Frank; Indumathi, V.; Schnatz, Klaus Lower semicontinuity, almost lower semicontinuity, and continuous selections for set-valued mappings. (English) Zbl 0653.41029 J. Approximation Theory 53, No. 3, 266-294 (1988). Reviewer: H.R.Dowson MSC: 41A65 PDFBibTeX XMLCite \textit{F. Deutsch} et al., J. Approx. Theory 53, No. 3, 266--294 (1988; Zbl 0653.41029) Full Text: DOI
Deutsch, Frank Best approximation in the space of continuous vector-valued functions. (English) Zbl 0645.41027 J. Approximation Theory 53, No. 1, 112-116 (1988). Reviewer: W.W.Breckner MSC: 41A65 41A50 PDFBibTeX XMLCite \textit{F. Deutsch}, J. Approx. Theory 53, No. 1, 112--116 (1988; Zbl 0645.41027) Full Text: DOI
Deutsch, Frank An exposition of recent results on continuous metric selections. (English) Zbl 0637.41035 Numerical methods of approximation theory, Vol. 8, Workshop Oberwolfach/FRG 1986, ISNM 81, 67-79 (1987). Reviewer: Guanglu Zhang MSC: 41A65 PDFBibTeX XML
Deutsch, Frank Continuous selections for metric projections: some recent progress. (English) Zbl 0613.41032 Approximation theory V, Proc. 5th Int. Symp., College Station/Tex. 1986, 319-322 (1986). MSC: 41A65 PDFBibTeX XML
Deutsch, F. Some open problems concerning metric selections. (English) Zbl 0582.41030 Approximation theory and applications, Proc. Int. Conf. 75th Birthday G. G. Lorentz, St. John’s/Newfoundland 1984, Res. Notes Math. 133, 30-34 (1985). Reviewer: P.Papini MSC: 41A28 41A65 PDFBibTeX XML
Deutsch, Frank Simultaneous interpolation and norm-preservation. (English) Zbl 0573.41030 Delay equations, approximation and application, Int. Symp. Mannheim/Ger. 1984, ISNM 74, 122-132 (1985). Reviewer: P.Lappan MSC: 41A28 41A65 41A05 PDFBibTeX XML
Brosowski, B. (ed.); Deutsch, F. (ed.) Parametric optimization and approximation. Conference held at the Mathematisches Forschungsinstitut, Oberwolfach, October 16-22, 1983. (English) Zbl 0547.00044 ISNM. International Series of Numerical Mathematics, Vol. 72. Basel-Boston- Stuttgart: Birkhäuser Verlag. 263 p. (1985). MSC: 00Bxx 65-06 41-06 90-06 PDFBibTeX XMLCite \textit{B. Brosowski} (ed.) and \textit{F. Deutsch} (ed.), Parametric optimization and approximation. Conference held at the Mathematisches Forschungsinstitut, Oberwolfach, October 16-22, 1983. Basel-Boston- Stuttgart: Birkhäuser Verlag (1985; Zbl 0547.00044)
Deutsch, Frank When does the metric projection admit a linear selection? (English) Zbl 0553.41039 Approximation theory, 2nd Conf., Edmonton/Alberta 1982, CMS Conf. Proc. 3, 135-141 (1983). Reviewer: Constantine G. Lascarides (Athína) MSC: 41A65 41A50 41A52 47H99 PDFBibTeX XML
Deutsch, Frank Von Neumann’s alternating method: The rate of convergence. (English) Zbl 0544.41029 Approximation theory IV, Proc. int. Conf., Tex. A&M Univ. 1983, 427-434 (1983). Reviewer: J.Peetre MSC: 41A65 41A25 PDFBibTeX XML
Deutsch, Frank; Nürnberger, Günther Weakly interpolating subspaces. (English) Zbl 0531.41002 Numer. Funct. Anal. Optimization 5, 267-288 (1983). Reviewer: C.G.Lascarides MSC: 41A05 41A50 41A65 46E10 PDFBibTeX XMLCite \textit{F. Deutsch} and \textit{G. Nürnberger}, Numer. Funct. Anal. Optim. 5, 267--288 (1983; Zbl 0531.41002) Full Text: DOI
Deutsch, Frank; Kenderov, Petar Continuous selections and approximate selection for set-valued mappings and applications to metric projections. (English) Zbl 0518.41031 SIAM J. Math. Anal. 14, 185-194 (1983). MSC: 41A65 54C65 41A50 54C60 54C05 PDFBibTeX XMLCite \textit{F. Deutsch} and \textit{P. Kenderov}, SIAM J. Math. Anal. 14, 185--194 (1983; Zbl 0518.41031) Full Text: DOI
Deutsch, Frank A survey of metric selections. (English) Zbl 0518.41030 Contemp. Math. 18, 49-71 (1983). MSC: 41A65 41A50 47H99 41A45 41-02 PDFBibTeX XMLCite \textit{F. Deutsch}, Contemp. Math. 18, 49--71 (1983; Zbl 0518.41030) Full Text: DOI
Deutsch, Frank Which closed convex subsets of an inner product space are Chebyshev? (English) Zbl 0524.41015 Multivariate approximation theory II, Proc. Conf., Oberwolfach 1982, ISNM 61, 125-129 (1982). MSC: 41A52 41A50 41A65 PDFBibTeX XML
Deutsch, Frank Linear selections for the metric projection. (English) Zbl 0522.41027 J. Funct. Anal. 49, 269-292 (1982). MSC: 41A65 41A50 41A52 PDFBibTeX XMLCite \textit{F. Deutsch}, J. Funct. Anal. 49, 269--292 (1982; Zbl 0522.41027) Full Text: DOI
Deutsch, Frank Representers of linear functionals, norm-attaining functionals, and best approximation by cones and linear varieties in inner product spaces. (English) Zbl 0501.41022 J. Approximation Theory 36, 226-236 (1982). MSC: 41A65 41A50 46C99 46E99 PDFBibTeX XMLCite \textit{F. Deutsch}, J. Approx. Theory 36, 226--236 (1982; Zbl 0501.41022) Full Text: DOI
Deutsch, Frank; Mach, Jaroslav; Saatkamp, Klaus Approximation by finite rank operators. (English) Zbl 0521.41017 J. Approximation Theory 33, 199-213 (1981). MSC: 41A36 41A65 PDFBibTeX XMLCite \textit{F. Deutsch} et al., J. Approx. Theory 33, 199--213 (1981; Zbl 0521.41017) Full Text: DOI
Deutsch, Frank; Lapidot, Eitan Convergence from approximating subspaces. (English) Zbl 0485.41026 J. Approximation Theory 32, 281-291 (1981). MSC: 41A50 41A65 46E15 40A30 46B25 46E30 PDFBibTeX XMLCite \textit{F. Deutsch} and \textit{E. Lapidot}, J. Approx. Theory 32, 281--291 (1981; Zbl 0485.41026) Full Text: DOI
Brosowski, Bruno; Deutsch, Frank An elementary proof of the Stone-Weierstrass theorem. (English) Zbl 0482.46014 Proc. Am. Math. Soc. 81, 89-92 (1981). MSC: 46E15 46E25 41A30 PDFBibTeX XMLCite \textit{B. Brosowski} and \textit{F. Deutsch}, Proc. Am. Math. Soc. 81, 89--92 (1981; Zbl 0482.46014) Full Text: DOI
Deutsch, Frank; Lambert, Joseph M. On continuity of metric projections. (English) Zbl 0514.41034 J. Approximation Theory 29, 116-131 (1980). MSC: 41A65 41A50 PDFBibTeX XMLCite \textit{F. Deutsch} and \textit{J. M. Lambert}, J. Approx. Theory 29, 116--131 (1980; Zbl 0514.41034) Full Text: DOI
Brosowski, Bruno; Deutsch, Frank; Nürnberger, Günther Parametric approximation. (English) Zbl 0483.41033 J. Approximation Theory 29, 261-277 (1980). MSC: 41A65 41A50 41A45 PDFBibTeX XMLCite \textit{B. Brosowski} et al., J. Approx. Theory 29, 261--277 (1980; Zbl 0483.41033) Full Text: DOI
Deutsch, Frank; Kenderov, Petar When does the metric projection admit a continuous selection? (English) Zbl 0482.41029 Approximation theory III, Proc. Conf. Hon. G.G. Lorentz, Austin/ Tex. 1980, 327-333 (1980). MSC: 41A65 PDFBibTeX XML
Deutsch, Frank Existence of best approximations. (English) Zbl 0464.41016 J. Approximation Theory 28, 132-154 (1980). MSC: 41A50 41A65 PDFBibTeX XMLCite \textit{F. Deutsch}, J. Approx. Theory 28, 132--154 (1980; Zbl 0464.41016) Full Text: DOI
Deutsch, Frank; Nürenberger, Günther; Singer, Ivan Weak Chebyshev subspaces and alternation. (English) Zbl 0454.41030 Pac. J. Math. 89, 9-31 (1980). MSC: 41A65 41A50 41A52 PDFBibTeX XMLCite \textit{F. Deutsch} et al., Pac. J. Math. 89, 9--31 (1980; Zbl 0454.41030) Full Text: DOI
Deutsch, Frank A general existence theorem for best approximations. (English) Zbl 0436.41024 Approximation in Theorie und Praxis, Symp. Siegen 1979, 71-93 (1979). MSC: 41A65 41A50 PDFBibTeX XML
Deutsch, Frank The alternating method of von Neumann. (English) Zbl 0431.41046 Multivariate approximation theory, Proc. Conf. math. Res. Inst., Oberwolfach 1979, ISNM Vol. 51, 83-96 (1979). MSC: 41A65 PDFBibTeX XML
Amir, Dan; Deutsch, Frank Approximation by certain subspaces in the Banach space of continuous vector-valued functions. (English) Zbl 0426.41027 J. Approximation Theory 27, 254-270 (1979). MSC: 41A50 41A65 PDFBibTeX XMLCite \textit{D. Amir} and \textit{F. Deutsch}, J. Approx. Theory 27, 254--270 (1979; Zbl 0426.41027) Full Text: DOI
Amir, Dan; Deutsch, Frank Another approximation theoretic characterization of inner product spaces. (English) Zbl 0384.46007 Proc. Am. Math. Soc. 71, 99-102 (1978). MSC: 46B20 41A65 46C99 PDFBibTeX XMLCite \textit{D. Amir} and \textit{F. Deutsch}, Proc. Am. Math. Soc. 71, 99--102 (1978; Zbl 0384.46007) Full Text: DOI
Brosowski, B.; Deutsch, F.; Lambert, J.; Morris, P. D. Some suns in \(L_1\). (English) Zbl 0325.41023 J. Approximation Theory 16, 310-314 (1976). MSC: 41A50 41A65 PDFBibTeX XMLCite \textit{B. Brosowski} et al., J. Approx. Theory 16, 310--314 (1976; Zbl 0325.41023) Full Text: DOI
Deutsch, Frank; McCabe, John H.; Phillips, George M. Some algorithms for computing best approximations from convex cones. (English) Zbl 0327.41025 SIAM J. Numer. Anal. 12, 390-403 (1975). MSC: 41A50 41A65 65D15 PDFBibTeX XMLCite \textit{F. Deutsch} et al., SIAM J. Numer. Anal. 12, 390--403 (1975; Zbl 0327.41025) Full Text: DOI
Brosowski, Bruno; Deutsch, Frank Radial continuity of set-valued metric projections. (English) Zbl 0283.41014 J. Approximation Theory 11, 236-253 (1974). MSC: 41A50 41A65 PDFBibTeX XMLCite \textit{B. Brosowski} and \textit{F. Deutsch}, J. Approx. Theory 11, 236--253 (1974; Zbl 0283.41014) Full Text: DOI
Brosowski, B.; Deutsch, F.; Lambert, J.; Morris, P. D. Chebychev sets which are not suns. (English) Zbl 0278.41030 Math. Ann. 212, 89-101 (1974). MSC: 41A50 PDFBibTeX XMLCite \textit{B. Brosowski} et al., Math. Ann. 212, 89--101 (1974; Zbl 0278.41030) Full Text: DOI EuDML
Brosowski, Bruno; Deutsch, Frank On some geometric properties of suns. (English) Zbl 0272.41020 J. Approximation Theory 10, 245-267 (1974). MSC: 41A65 46B99 PDFBibTeX XMLCite \textit{B. Brosowski} and \textit{F. Deutsch}, J. Approx. Theory 10, 245--267 (1974; Zbl 0272.41020) Full Text: DOI
Deutsch, Frank Cardinality of extreme points of the unit sphere with applications to nonexistence theorems in approximation theory. (English) Zbl 0332.41022 Approx. Theory, Proc. int. Symp., Austin 1973, 319-323 (1973). MSC: 41A65 41A50 PDFBibTeX XML
Deutsch, Frank; Pollul, Walter; Singer, Ivan On set-valued metric projections, Hahn-Banach extension maps, and spherical image maps. (English) Zbl 0267.41013 Duke Math. J. 40, 355-370 (1973). MSC: 41A65 46B99 PDFBibTeX XMLCite \textit{F. Deutsch} et al., Duke Math. J. 40, 355--370 (1973; Zbl 0267.41013) Full Text: DOI
Biggs, J. H.; Deutsch, F. R.; Huff, R. E.; Morris, P. D.; Olson, J. E. Interpolating subspaces in \(l_1\)-spaces. (English) Zbl 0252.41038 J. Approximation Theory 7, 293-301 (1973). MSC: 41A05 41A65 46E35 PDFBibTeX XMLCite \textit{J. H. Biggs} et al., J. Approx. Theory 7, 293--301 (1973; Zbl 0252.41038) Full Text: DOI
Brosowski, Bruno; Deutsch, Frank Some new continuity concepts for metric projections. (English) Zbl 0255.41029 Bull. Am. Math. Soc. 78, 974-978 (1972). MSC: 41A65 PDFBibTeX XMLCite \textit{B. Brosowski} and \textit{F. Deutsch}, Bull. Am. Math. Soc. 78, 974--978 (1972; Zbl 0255.41029) Full Text: DOI
Amir, Dan; Deutsch, Frank Suns, moons, and quasi-polyhedra. (English) Zbl 0238.41014 J. Approximation Theory 6, 176-201 (1972). MSC: 41A65 PDFBibTeX XMLCite \textit{D. Amir} and \textit{F. Deutsch}, J. Approx. Theory 6, 176--201 (1972; Zbl 0238.41014) Full Text: DOI
Brosowski, Bruno; Deutsch, Frank Radial continuity of set-valued metric projections. (English) Zbl 0231.46042 GWDG-Bericht No. 3. Göttingen: Gesellschaft für wissenschaftliche Datenverarbeitung mbH. 25 p. (1972). MSC: 46-02 46B20 41A65 46C05 PDFBibTeX XML
Brosowski, Bruno; Deutsch, Frank On some geometrical properties of suns. (English) Zbl 0231.46041 GWDG-Bericht No. 2. Göttingen: Gesellschaft für wissenschaftliche Datenverarbeitung mbH. 35 p. (1972). MSC: 46-02 46C05 46B20 46A03 41A65 PDFBibTeX XML
Ault, D. A.; Deutsch, F. R.; Morris, P. D.; Olson, J. E. Interpolating subspaces in approximation theory. (English) Zbl 0233.41016 Approximation Theory, Proc. Sympos. Lancaster 1969, 291-307 (1970). MSC: 41A65 46M35 PDFBibTeX XML
Deutsch, F.; Morris, P. D. Simultaneous approximation and interpolation with preservation of norm. (English) Zbl 0225.41009 Approximation Theory, Proc. Sympos. Lancaster 1969, 309-313 (1970). MSC: 41A28 41A65 46B99 PDFBibTeX XML
Deutsch, Frank; Morris, Peter D.; Singer, Ivan On a problem of T. J. Rivlin in approximation theory. (English) Zbl 0193.09201 J. Approximation Theory 2, 342-354 (1969). MSC: 41A65 PDFBibTeX XMLCite \textit{F. Deutsch} et al., J. Approx. Theory 2, 342--354 (1969; Zbl 0193.09201) Full Text: DOI