Edit Profile (opens in new tab) Izzo, Alexander John Co-Author Distance Author ID: izzo.alexander-j Published as: Izzo, Alexander J. Homepage: https://www.bgsu.edu/arts-and-sciences/mathematics-and-statistics/faculty-and-st... External Links: MGP · Wikidata Documents Indexed: 59 Publications since 1992, including 6 Additional arXiv Preprints Reviewing Activity: 2 Reviews Co-Authors: 12 Co-Authors with 20 Joint Publications 172 Co-Co-Authors all top 5 Co-Authors 39 single-authored 7 Anderson, John T. 3 Stout, Edgar Lee 3 Wermer, John 2 Clos, Timothy G. 2 Feinstein, Joel Francis 2 Ghosh, Swarup Narayan 1 Cole, Brian J. 1 Levenberg, Norman jun. 1 Li, Bo 1 Papathanasiou, Dimitris 1 Samuelsson, Hakan 1 Wold, Erlend Fornæss all top 5 Serials 14 Proceedings of the American Mathematical Society 5 Indiana University Mathematics Journal 4 Studia Mathematica 4 Bulletin of the London Mathematical Society 4 Mathematische Annalen 4 Transactions of the American Mathematical Society 2 Houston Journal of Mathematics 2 Mathematica Scandinavica 2 Mathematische Zeitschrift 2 Pacific Journal of Mathematics 1 Rocky Mountain Journal of Mathematics 1 Arkiv för Matematik 1 Annales Polonici Mathematici 1 Canadian Journal of Mathematics 1 Journal of the London Mathematical Society. Second Series 1 Michigan Mathematical Journal 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Irish Mathematical Society Bulletin 1 Annals of Mathematics. Second Series all top 5 Fields 37 Functional analysis (46-XX) 27 Several complex variables and analytic spaces (32-XX) 14 Functions of a complex variable (30-XX) 5 General topology (54-XX) 4 Real functions (26-XX) 4 Manifolds and cell complexes (57-XX) 3 Topological groups, Lie groups (22-XX) 3 Approximations and expansions (41-XX) 2 Abstract harmonic analysis (43-XX) 2 Operator theory (47-XX) 1 Measure and integration (28-XX) 1 Ordinary differential equations (34-XX) 1 Global analysis, analysis on manifolds (58-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 43 Publications have been cited 162 times in 66 Documents Cited by ▼ Year ▼ Polynomial approximation on three-dimensional real-analytic submanifolds of \(\mathbf{C}^n\). Zbl 0976.32008 Anderson, John T.; Izzo, Alexander J.; Wermer, John 12 2001 Polynomial approximation on real-analytic varieties in \(\mathbb{C}^n\). Zbl 1058.32006 Anderson, John T.; Izzo, Alexander J.; Wermer, John 12 2004 A peak point theorem for uniform algebras generated by smooth functions on two-manifolds. Zbl 1041.32021 Anderson, John T.; Izzo, Alexander J. 11 2001 Uniform approximation on manifolds. Zbl 1232.41018 Izzo, Alexander J. 9 2011 Gleason parts and point derivations for uniform algebras with dense invertible group. Zbl 1401.46035 Izzo, Alexander J. 7 2018 Peak point theorems for uniform algebras on smooth manifolds. Zbl 1166.46030 Anderson, John T.; Izzo, Alexander J. 7 2009 Uniform algebras generated by holomorphic and pluriharmonic functions. Zbl 0815.46042 Izzo, Alexander J. 7 1993 Failure of polynomial approximation on polynomially convex subsets of the sphere. Zbl 0862.32010 Izzo, Alexander J. 7 1996 Hulls of surfaces. Zbl 1417.32009 Izzo, Alexander J.; Stout, Edgar Lee 7 2018 \(C^r\)-convergence of Picard’s successive approximations. Zbl 0918.34002 Izzo, Alexander J. 6 1999 Algebras containing bounded holomorphic functions. Zbl 1093.46025 Izzo, Alexander J. 6 2003 Uniform approximation by holomorphic and harmonic functions. Zbl 0815.46041 Izzo, Alexander J. 5 1993 Presence or absence of analytic structure in maximal ideal spaces. Zbl 1367.32008 Izzo, Alexander J.; Samuelsson Kalm, Håkan; Wold, Erlend Fornæss 5 2016 Uniform algebras invariant under transitive group actions. Zbl 1270.46044 Izzo, Alexander J. 5 2010 No topological condition implies equality of polynomial and rational hulls. Zbl 1429.32019 Izzo, Alexander J. 4 2019 Polynomial hulls of arcs and curves. Zbl 1475.32007 Izzo, Alexander J. 4 2021 The peak point conjecture and uniform algebras invariant under group actions. Zbl 1241.46030 Izzo, Alexander J. 3 2011 Uniform algebras generated by holomorphic and pluriharmonic functions on strictly pseudoconvex domains. Zbl 0867.46040 Izzo, Alexander J. 3 1995 Uniform algebras on the sphere invariant under group actions. Zbl 1184.46049 Izzo, Alexander J. 3 2009 Rational approximation on the unit sphere in \(\mathbb{C}^2\). Zbl 1067.32011 Anderson, John T.; Izzo, Alexander J.; Wermer, John 3 2004 Locally uniformly continuous functions. Zbl 0812.54023 Izzo, Alexander J. 3 1994 A Cantor set whose polynomial hull contains no analytic discs. Zbl 1436.32038 Izzo, Alexander J.; Levenberg, Norman 3 2019 Spaces with polynomial hulls that contain no analytic discs. Zbl 1457.32026 Izzo, Alexander J. 3 2020 A hull with no nontrivial Gleason parts. Zbl 1405.46033 Cole, Brian; Ghosh, Swarup N.; Izzo, Alexander J. 3 2018 A functional analysis proof of the existence of Haar measure on locally compact Abelian groups. Zbl 0777.28006 Izzo, Alexander J. 2 1992 A peak point theorem for uniform algebras on real-analytic varieties. Zbl 1341.32009 Anderson, John T.; Izzo, Alexander J. 2 2016 Generators for algebras dense in \(L^{p}\)-spaces. Zbl 1291.46028 Izzo, Alexander J.; Li, Bo 2 2013 Polynomially convex arcs in polynomially convex simple closed curves. Zbl 1495.32027 Izzo, Alexander J.; Stout, Edgar Lee 2 2022 A general method for constructing essential uniform algebras. Zbl 1470.46078 Feinstein, J. F.; Izzo, Alexander J. 2 2019 Localization for uniform algebras generated by real-analytic functions. Zbl 1385.46034 Anderson, John T.; Izzo, Alexander J. 1 2017 A characterization of \(C(K)\) among the uniform algebras containing \(A(K)\). Zbl 0912.46053 Izzo, Alexander J. 1 1997 Algebras generated by the disc algebra and bounded harmonic functions. Zbl 1115.46043 Izzo, Alexander J. 1 2007 Nowhere locally uniformly continuous functions are everywhere. Zbl 0960.54019 Izzo, Alexander J. 1 1999 Algebras generated by holomorphic and harmonic functions on the disc. Zbl 1093.46024 Izzo, Alexander J. 1 2005 Existence of continuous functions that are one-to-one almost everywhere. Zbl 1351.54010 Izzo, Alexander J. 1 2016 The linear span of peak functions. Zbl 1152.46310 Izzo, Alexander J. 1 2005 Pick and peak interpolation. Zbl 1388.30041 Izzo, Alexander J. 1 2018 A simple proof of the existence of Haar measure on amenable groups. Zbl 1368.43001 Izzo, Alexander J. 1 2017 Nonlocal uniform algebras on three-manifolds. Zbl 1262.46033 Izzo, Alexander J. 1 2012 Localization for uniform algebras generated by smooth functions on two-manifolds. Zbl 1203.46033 Izzo, Alexander J. 1 2010 Analytic discs and uniform algebras generated by real-analytic functions. Zbl 1418.46021 Izzo, Alexander J. 1 2019 A doubly generated uniform algebra with a one-point Gleason part off its Shilov boundary. Zbl 1469.32007 Izzo, Alexander J. 1 2020 Gleason parts and point derivations for uniform algebras with dense invertible group. II. Zbl 1482.46054 Izzo, Alexander J. 1 2021 Polynomially convex arcs in polynomially convex simple closed curves. Zbl 1495.32027 Izzo, Alexander J.; Stout, Edgar Lee 2 2022 Polynomial hulls of arcs and curves. Zbl 1475.32007 Izzo, Alexander J. 4 2021 Gleason parts and point derivations for uniform algebras with dense invertible group. II. Zbl 1482.46054 Izzo, Alexander J. 1 2021 Spaces with polynomial hulls that contain no analytic discs. Zbl 1457.32026 Izzo, Alexander J. 3 2020 A doubly generated uniform algebra with a one-point Gleason part off its Shilov boundary. Zbl 1469.32007 Izzo, Alexander J. 1 2020 No topological condition implies equality of polynomial and rational hulls. Zbl 1429.32019 Izzo, Alexander J. 4 2019 A Cantor set whose polynomial hull contains no analytic discs. Zbl 1436.32038 Izzo, Alexander J.; Levenberg, Norman 3 2019 A general method for constructing essential uniform algebras. Zbl 1470.46078 Feinstein, J. F.; Izzo, Alexander J. 2 2019 Analytic discs and uniform algebras generated by real-analytic functions. Zbl 1418.46021 Izzo, Alexander J. 1 2019 Gleason parts and point derivations for uniform algebras with dense invertible group. Zbl 1401.46035 Izzo, Alexander J. 7 2018 Hulls of surfaces. Zbl 1417.32009 Izzo, Alexander J.; Stout, Edgar Lee 7 2018 A hull with no nontrivial Gleason parts. Zbl 1405.46033 Cole, Brian; Ghosh, Swarup N.; Izzo, Alexander J. 3 2018 Pick and peak interpolation. Zbl 1388.30041 Izzo, Alexander J. 1 2018 Localization for uniform algebras generated by real-analytic functions. Zbl 1385.46034 Anderson, John T.; Izzo, Alexander J. 1 2017 A simple proof of the existence of Haar measure on amenable groups. Zbl 1368.43001 Izzo, Alexander J. 1 2017 Presence or absence of analytic structure in maximal ideal spaces. Zbl 1367.32008 Izzo, Alexander J.; Samuelsson Kalm, Håkan; Wold, Erlend Fornæss 5 2016 A peak point theorem for uniform algebras on real-analytic varieties. Zbl 1341.32009 Anderson, John T.; Izzo, Alexander J. 2 2016 Existence of continuous functions that are one-to-one almost everywhere. Zbl 1351.54010 Izzo, Alexander J. 1 2016 Generators for algebras dense in \(L^{p}\)-spaces. Zbl 1291.46028 Izzo, Alexander J.; Li, Bo 2 2013 Nonlocal uniform algebras on three-manifolds. Zbl 1262.46033 Izzo, Alexander J. 1 2012 Uniform approximation on manifolds. Zbl 1232.41018 Izzo, Alexander J. 9 2011 The peak point conjecture and uniform algebras invariant under group actions. Zbl 1241.46030 Izzo, Alexander J. 3 2011 Uniform algebras invariant under transitive group actions. Zbl 1270.46044 Izzo, Alexander J. 5 2010 Localization for uniform algebras generated by smooth functions on two-manifolds. Zbl 1203.46033 Izzo, Alexander J. 1 2010 Peak point theorems for uniform algebras on smooth manifolds. Zbl 1166.46030 Anderson, John T.; Izzo, Alexander J. 7 2009 Uniform algebras on the sphere invariant under group actions. Zbl 1184.46049 Izzo, Alexander J. 3 2009 Algebras generated by the disc algebra and bounded harmonic functions. Zbl 1115.46043 Izzo, Alexander J. 1 2007 Algebras generated by holomorphic and harmonic functions on the disc. Zbl 1093.46024 Izzo, Alexander J. 1 2005 The linear span of peak functions. Zbl 1152.46310 Izzo, Alexander J. 1 2005 Polynomial approximation on real-analytic varieties in \(\mathbb{C}^n\). Zbl 1058.32006 Anderson, John T.; Izzo, Alexander J.; Wermer, John 12 2004 Rational approximation on the unit sphere in \(\mathbb{C}^2\). Zbl 1067.32011 Anderson, John T.; Izzo, Alexander J.; Wermer, John 3 2004 Algebras containing bounded holomorphic functions. Zbl 1093.46025 Izzo, Alexander J. 6 2003 Polynomial approximation on three-dimensional real-analytic submanifolds of \(\mathbf{C}^n\). Zbl 0976.32008 Anderson, John T.; Izzo, Alexander J.; Wermer, John 12 2001 A peak point theorem for uniform algebras generated by smooth functions on two-manifolds. Zbl 1041.32021 Anderson, John T.; Izzo, Alexander J. 11 2001 \(C^r\)-convergence of Picard’s successive approximations. Zbl 0918.34002 Izzo, Alexander J. 6 1999 Nowhere locally uniformly continuous functions are everywhere. Zbl 0960.54019 Izzo, Alexander J. 1 1999 A characterization of \(C(K)\) among the uniform algebras containing \(A(K)\). Zbl 0912.46053 Izzo, Alexander J. 1 1997 Failure of polynomial approximation on polynomially convex subsets of the sphere. Zbl 0862.32010 Izzo, Alexander J. 7 1996 Uniform algebras generated by holomorphic and pluriharmonic functions on strictly pseudoconvex domains. Zbl 0867.46040 Izzo, Alexander J. 3 1995 Locally uniformly continuous functions. Zbl 0812.54023 Izzo, Alexander J. 3 1994 Uniform algebras generated by holomorphic and pluriharmonic functions. Zbl 0815.46042 Izzo, Alexander J. 7 1993 Uniform approximation by holomorphic and harmonic functions. Zbl 0815.46041 Izzo, Alexander J. 5 1993 A functional analysis proof of the existence of Haar measure on locally compact Abelian groups. Zbl 0777.28006 Izzo, Alexander J. 2 1992 all cited Publications top 5 cited Publications all top 5 Cited by 60 Authors 24 Izzo, Alexander John 6 Anderson, John T. 5 Chen, Shaolin 4 Shafikov, Rasul Gazimovich 4 Stout, Edgar Lee 3 Ghosh, Swarup Narayan 3 Gupta, Purvi 3 Mortini, Raymond 3 Rupp, Rudolf 3 Wermer, John 2 El-Arabawy, Hassan A. M. 2 Gauthier, Paul M. 2 Hamada, Hidetaka 2 Mondal, Golam Mostafa 2 Pham, Hung Le 2 Ponnusamy, Saminathan 2 Samuelsson, Hakan 2 Street, Brian 2 Wold, Erlend Fornæss 2 Youssef, Ismail K. 1 Ayanbayev, Birzhan 1 Bachar, John M. jun. 1 Boos, Lynette J. 1 Chung, Soon-Yeong 1 Cima, Joseph A. 1 Clos, Timothy G. 1 Cole, Brian J. 1 Dales, Harold Garth 1 Davidson, Kenneth R. 1 Falcó, Javier 1 Feinstein, Joel Francis 1 Gorai, Sushil 1 Grandi, Diego 1 Hartz, Michael 1 Kim, Dohan 1 Klebanov, Ilja 1 Kružík, Martin 1 Lau, Anthony To-Ming 1 Li, Zhen 1 Lie, Han Cheng 1 Liu, Jicheng 1 Mainini, Edoardo 1 Manolaki, Myrto 1 Mitrea, Octavian 1 Morley, Sam 1 Namioka, Isaac 1 Nestoridis, Vassili 1 Papathanasiou, Dimitris 1 Rasila, Antti 1 Şahutoğlu, Sönmez 1 Salame, Khadime 1 Salas, David 1 Shin, Chang Eon 1 Shirazi, Mohammad 1 Stefanelli, Ulisse 1 Stovall, Betsy 1 Sullivan, Tim 1 Thibault, Lionel 1 Tikaradze, Akaki 1 Wang, Xiantao all top 5 Cited in 42 Serials 12 Proceedings of the American Mathematical Society 4 Mathematische Annalen 3 Journal of Mathematical Analysis and Applications 2 Studia Mathematica 2 Advances in Mathematics 2 Illinois Journal of Mathematics 2 Indiana University Mathematics Journal 2 Mathematische Zeitschrift 2 Transactions of the American Mathematical Society 2 The Journal of Geometric Analysis 2 Complex Variables and Elliptic Equations 1 Archive for Rational Mechanics and Analysis 1 Bulletin of the Australian Mathematical Society 1 Houston Journal of Mathematics 1 Inverse Problems 1 Rocky Mountain Journal of Mathematics 1 Arkiv för Matematik 1 Applied Mathematics and Computation 1 Archiv der Mathematik 1 Canadian Journal of Mathematics 1 Canadian Mathematical Bulletin 1 Inventiones Mathematicae 1 Journal of Functional Analysis 1 Journal of Optimization Theory and Applications 1 Journal für die Reine und Angewandte Mathematik 1 Michigan Mathematical Journal 1 Monatshefte für Mathematik 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Results in Mathematics 1 Statistics & Probability Letters 1 Revista Matemática Iberoamericana 1 Mathematical and Computer Modelling 1 International Journal of Mathematics 1 Geometric and Functional Analysis. GAFA 1 Filomat 1 Integral Transforms and Special Functions 1 Annals of Mathematics. Second Series 1 Journal of the European Mathematical Society (JEMS) 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 1 Journal of Function Spaces and Applications 1 Journal of Fixed Point Theory and Applications 1 Banach Journal of Mathematical Analysis all top 5 Cited in 23 Fields 39 Several complex variables and analytic spaces (32-XX) 31 Functional analysis (46-XX) 14 Functions of a complex variable (30-XX) 6 Operator theory (47-XX) 5 Potential theory (31-XX) 5 Approximations and expansions (41-XX) 4 Differential geometry (53-XX) 4 General topology (54-XX) 3 Ordinary differential equations (34-XX) 3 Manifolds and cell complexes (57-XX) 3 Numerical analysis (65-XX) 2 Abstract harmonic analysis (43-XX) 2 Global analysis, analysis on manifolds (58-XX) 1 Topological groups, Lie groups (22-XX) 1 Real functions (26-XX) 1 Partial differential equations (35-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Probability theory and stochastic processes (60-XX) 1 Statistics (62-XX) 1 Computer science (68-XX) 1 Mechanics of deformable solids (74-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.