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## Chmieliński, Jacek

Compute Distance To:
 Author ID: chmielinski.jacek Published as: Chmielinski, Jacek; Chmieliński, J.; Chmieliński, Jacek Homepage: https://matematyka.up.krakow.pl/pracow.php?ac=1484818 External Links: MGP · Wikidata · ORCID · ResearchGate
 Documents Indexed: 45 Publications since 1992, including 1 Book Reviewing Activity: 201 Reviews
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#### Co-Authors

 27 single-authored 8 Wójcik, Paweł 2 Ger, Roman 2 Goldberg, Moshe 2 Moslehian, Mohammad Sal 1 Badora, Roman 1 Brzdęk, Janusz 1 Ciepliński, Krzysztof 1 Ilišević, Dijana 1 Jung, Soon-Mo 1 Łukasik, Radosław 1 Páles, Zsolt 1 Rätz, Jürg 1 Sadeghi, Ghadir 1 Sikorska, Justyna 1 Stypuła, Tomasz 1 Tabor, Jacek 1 Zdun, Marek Cezary
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#### Serials

 7 Aequationes Mathematicae 5 Journal of Mathematical Analysis and Applications 3 Linear Algebra and its Applications 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Prace Naukowe Uniwersytetu Śląskiego w Katowicach. Annales Mathematicae Silesianae 2 JIPAM. Journal of Inequalities in Pure & Applied Mathematics 2 Rocznik Naukowo-Dydaktyczny. Prace Matematyczne 2 Banach Journal of Mathematical Analysis 1 Journal of Mathematical Physics 1 Rocky Mountain Journal of Mathematics 1 Archiv der Mathematik 1 Publicationes Mathematicae 1 Results in Mathematics 1 Zbornik Radova. Prirodno-Matematichkog Fakulteta. Serija za Matematiku 1 Annales Societatis Mathematicae Polonae. Seria I. Commentationes Mathematicae 1 Bulletin of the Korean Mathematical Society 1 Opuscula Mathematica 1 Journal of Inequalities and Applications 1 Mathematical Inequalities & Applications 1 Nonlinear Functional Analysis and Applications 1 Banach Center Publications 1 Advances in Operator Theory
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#### Fields

 36 Difference and functional equations (39-XX) 25 Functional analysis (46-XX) 12 Operator theory (47-XX) 6 General topology (54-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 2 Convex and discrete geometry (52-XX) 1 General and overarching topics; collections (00-XX) 1 Nonassociative rings and algebras (17-XX) 1 Group theory and generalizations (20-XX) 1 Topological groups, Lie groups (22-XX) 1 Real functions (26-XX) 1 Differential geometry (53-XX)

#### Citations contained in zbMATH Open

36 Publications have been cited 238 times in 103 Documents Cited by Year
Linear mappings approximately preserving orthogonality. Zbl 1090.46017
Chmieliński, Jacek
2005
On an $$\varepsilon$$-Birkhoff orthogonality. Zbl 1095.46011
Chmieliński, Jacek
2005
On a $$\rho$$-orthogonality. Zbl 1208.46015
Chmieliński, Jacek; Wójcik, Paweł
2010
Isosceles-orthogonality preserving property and its stability. Zbl 1192.46013
Chmieliński, Jacek; Wójcik, Paweł
2010
Stability of the orthogonality preserving property in finite-dimensional inner product spaces. Zbl 1103.46016
Chmieliński, Jacek
2006
Remarks on orthogonality preserving mappings in normed spaces and some stability problems. Zbl 1135.46006
Chmieliński, Jacek
2007
On the stability of the orthogonality equation and the orthogonality-preserving property with two unknown functions. Zbl 1352.39019
Chmieliński, Jacek; Łukasik, Radosław; Wójcik, Paweł
2016
$$\rho$$-orthogonality and its preservation – revisited. Zbl 1292.46007
Chmieliński, Jacek; Wójcik, Paweł
2013
Approximate orthogonality in normed spaces and its applications. Zbl 1383.46013
Chmieliński, Jacek; Stypuła, Tomasz; Wójcik, Paweł
2017
Decomposition of mappings approximately inner product preserving. Zbl 1091.39005
2005
Operators reversing orthogonality in normed spaces. Zbl 1448.47024
Chmieliński, Jacek
2016
On a singular case in the Hyers-Ulam-Rassias stability of the Wigner equation. Zbl 1045.39018
Chmieliński, Jacek
2004
Approximate symmetry of Birkhoff orthogonality. Zbl 1402.46009
Chmieliński, Jacek; Wójcik, Paweł
2018
Orthogonality equation with two unknown functions. Zbl 1342.39023
Chmieliński, Jacek
2016
Perturbation of the Wigner equation in inner product $$C^*$$-modules. Zbl 1153.81342
2008
Normed spaces equivalent to inner product spaces and stability of functional equations. Zbl 1295.46007
Chmieliński, Jacek
2014
Orthogonality preserving property and its Ulam stability. Zbl 1248.39023
Chmieliński, Jacek
2011
On approximate solutions of the Pexider equation. Zbl 0801.39007
Chmieliński, J.; Tabor, J.
1993
Stability of angle-preserving mappings on the plane. Zbl 1079.39024
Chmieliński, Jacek
2005
Stability of the Wigner equation and related topics. Zbl 1122.39020
Chmieliński, Jacek
2006
The stability of the Wigner equation on a restricted domain. Zbl 0971.39016
Chmieliński, Jacek; Jung, Soon-Mo
2001
On the stability of the generalized orthogonality equation. Zbl 0844.39014
Chmieliński, Jacek
1994
On the superstability of the generalized orthogonality equation in Euclidean spaces. Zbl 0837.39010
Chmieliński, Jacek
1994
Approximately $$C^*$$-inner product preserving mappings. Zbl 1149.39019
2008
On mappings preserving inner product modulo an ideal. Zbl 0938.39025
Chmieliński, Jacek; Ger, Roman
1999
The stability of the Wigner equation in complex Hilbert spaces. Zbl 1159.39315
Chmieliński, Jacek
1998
On the Hyers-Ulam stability of the generalized orthogonality equation in real Hilbert spaces. Zbl 0844.39013
Chmieliński, Jacek
1994
Continuity and discontinuity of seminorms on infinite-dimensional vector spaces. Zbl 1444.46021
Chmieliński, Jacek; Goldberg, Moshe
2019
A note on a characterization of metrics generated by norms. Zbl 1332.39020
Chmieliński, Jacek
2015
On functional equations related to additive mappings and isometries. Zbl 1316.39007
Chmieliński, Jacek
2015
Orthogonality preserving property, Wigner equation, and stability. Zbl 1132.39020
Chmieliński, Jacek
2006
On some approximate functional relations stemming from orthogonality preserving property. Zbl 1131.39022
Chmielinski, Jacek
2006
Almost approximately inner product preserving mappings. Zbl 0961.39010
Chmieliński, Jacek
2000
Orthogonality equation almost everywhere. Zbl 0909.39010
Chmieliński, Jacek; Rätz, Jürg
1998
On the stability of isometric operators for Hilbert spaces. Zbl 0902.46010
Chmieliński, Jacek
1997
A topological group discontinuously divisible by 2. Zbl 0819.54027
Chmieliński, Jacek
1994
Continuity and discontinuity of seminorms on infinite-dimensional vector spaces. Zbl 1444.46021
Chmieliński, Jacek; Goldberg, Moshe
2019
Approximate symmetry of Birkhoff orthogonality. Zbl 1402.46009
Chmieliński, Jacek; Wójcik, Paweł
2018
Approximate orthogonality in normed spaces and its applications. Zbl 1383.46013
Chmieliński, Jacek; Stypuła, Tomasz; Wójcik, Paweł
2017
On the stability of the orthogonality equation and the orthogonality-preserving property with two unknown functions. Zbl 1352.39019
Chmieliński, Jacek; Łukasik, Radosław; Wójcik, Paweł
2016
Operators reversing orthogonality in normed spaces. Zbl 1448.47024
Chmieliński, Jacek
2016
Orthogonality equation with two unknown functions. Zbl 1342.39023
Chmieliński, Jacek
2016
A note on a characterization of metrics generated by norms. Zbl 1332.39020
Chmieliński, Jacek
2015
On functional equations related to additive mappings and isometries. Zbl 1316.39007
Chmieliński, Jacek
2015
Normed spaces equivalent to inner product spaces and stability of functional equations. Zbl 1295.46007
Chmieliński, Jacek
2014
$$\rho$$-orthogonality and its preservation – revisited. Zbl 1292.46007
Chmieliński, Jacek; Wójcik, Paweł
2013
Orthogonality preserving property and its Ulam stability. Zbl 1248.39023
Chmieliński, Jacek
2011
On a $$\rho$$-orthogonality. Zbl 1208.46015
Chmieliński, Jacek; Wójcik, Paweł
2010
Isosceles-orthogonality preserving property and its stability. Zbl 1192.46013
Chmieliński, Jacek; Wójcik, Paweł
2010
Perturbation of the Wigner equation in inner product $$C^*$$-modules. Zbl 1153.81342
2008
Approximately $$C^*$$-inner product preserving mappings. Zbl 1149.39019
2008
Remarks on orthogonality preserving mappings in normed spaces and some stability problems. Zbl 1135.46006
Chmieliński, Jacek
2007
Stability of the orthogonality preserving property in finite-dimensional inner product spaces. Zbl 1103.46016
Chmieliński, Jacek
2006
Stability of the Wigner equation and related topics. Zbl 1122.39020
Chmieliński, Jacek
2006
Orthogonality preserving property, Wigner equation, and stability. Zbl 1132.39020
Chmieliński, Jacek
2006
On some approximate functional relations stemming from orthogonality preserving property. Zbl 1131.39022
Chmielinski, Jacek
2006
Linear mappings approximately preserving orthogonality. Zbl 1090.46017
Chmieliński, Jacek
2005
On an $$\varepsilon$$-Birkhoff orthogonality. Zbl 1095.46011
Chmieliński, Jacek
2005
Decomposition of mappings approximately inner product preserving. Zbl 1091.39005
2005
Stability of angle-preserving mappings on the plane. Zbl 1079.39024
Chmieliński, Jacek
2005
On a singular case in the Hyers-Ulam-Rassias stability of the Wigner equation. Zbl 1045.39018
Chmieliński, Jacek
2004
The stability of the Wigner equation on a restricted domain. Zbl 0971.39016
Chmieliński, Jacek; Jung, Soon-Mo
2001
Almost approximately inner product preserving mappings. Zbl 0961.39010
Chmieliński, Jacek
2000
On mappings preserving inner product modulo an ideal. Zbl 0938.39025
Chmieliński, Jacek; Ger, Roman
1999
The stability of the Wigner equation in complex Hilbert spaces. Zbl 1159.39315
Chmieliński, Jacek
1998
Orthogonality equation almost everywhere. Zbl 0909.39010
Chmieliński, Jacek; Rätz, Jürg
1998
On the stability of isometric operators for Hilbert spaces. Zbl 0902.46010
Chmieliński, Jacek
1997
On the stability of the generalized orthogonality equation. Zbl 0844.39014
Chmieliński, Jacek
1994
On the superstability of the generalized orthogonality equation in Euclidean spaces. Zbl 0837.39010
Chmieliński, Jacek
1994
On the Hyers-Ulam stability of the generalized orthogonality equation in real Hilbert spaces. Zbl 0844.39013
Chmieliński, Jacek
1994
A topological group discontinuously divisible by 2. Zbl 0819.54027
Chmieliński, Jacek
1994
On approximate solutions of the Pexider equation. Zbl 0801.39007
Chmieliński, J.; Tabor, J.
1993
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#### Cited in 34 Serials

 23 Aequationes Mathematicae 16 Journal of Mathematical Analysis and Applications 11 Linear Algebra and its Applications 6 Banach Journal of Mathematical Analysis 4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 4 Annals of Functional Analysis 3 Journal of the Australian Mathematical Society 2 Indian Journal of Pure & Applied Mathematics 2 Proceedings of the American Mathematical Society 2 Expositiones Mathematicae 2 Journal of Inequalities and Applications 2 Annales Mathematicae Silesianae 1 Bulletin of the Australian Mathematical Society 1 Journal of Mathematical Physics 1 Linear and Multilinear Algebra 1 Journal of Functional Analysis 1 Journal of Optimization Theory and Applications 1 Mathematica Scandinavica 1 Monatshefte für Mathematik 1 Quaestiones Mathematicae 1 Results in Mathematics 1 Bulletin of the Iranian Mathematical Society 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Indagationes Mathematicae. New Series 1 The Journal of Analysis 1 Journal of Convex Analysis 1 Taiwanese Journal of Mathematics 1 Mathematical Inequalities & Applications 1 Communications of the Korean Mathematical Society 1 Acta Mathematica Sinica. English Series 1 Analysis and Applications (Singapore) 1 Tbilisi Mathematical Journal 1 Sahand Communications in Mathematical Analysis 1 Advances in Operator Theory
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#### Cited in 16 Fields

 69 Functional analysis (46-XX) 48 Operator theory (47-XX) 42 Difference and functional equations (39-XX) 12 Linear and multilinear algebra; matrix theory (15-XX) 3 Convex and discrete geometry (52-XX) 2 Geometry (51-XX) 2 General topology (54-XX) 1 General and overarching topics; collections (00-XX) 1 Combinatorics (05-XX) 1 Topological groups, Lie groups (22-XX) 1 Real functions (26-XX) 1 Approximations and expansions (41-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Statistics (62-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

#### Wikidata Timeline

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