Birkhoff–James Orthogonality and Applications: A Survey

Operator Theory, Functional Analysis and Applications - Operator Theory: Advances and Applications ◽

10.1007/978-3-030-51945-2_15 ◽

2021 ◽

pp. 293-315

Author(s):

Priyanka Grover ◽

Sushil Singla

Keyword(s):

James Orthogonality

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Symmetrized Birkhoff–James orthogonality in arbitrary normed spaces

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2021.125203 ◽

2021 ◽

pp. 125203

Author(s):

Ljiljana Arambašić ◽

Alexander Guterman ◽

Bojan Kuzma ◽

Rajna Rajić ◽

Svetlana Zhilina

Keyword(s):

Normed Spaces ◽

James Orthogonality

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Operators preserving mutual strong Birkhoff–James orthogonality on B(H)

Linear Algebra and its Applications ◽

10.1016/j.laa.2021.04.003 ◽

2021 ◽

Author(s):

Ljiljana Arambašić ◽

Alexander Guterman ◽

Bojan Kuzma ◽

Rajna Rajić ◽

Svetlana Zhilina

Keyword(s):

James Orthogonality

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Local Approximate Symmetry of Birkhoff–James Orthogonality in Normed Linear Spaces

Results in Mathematics ◽

10.1007/s00025-021-01437-y ◽

2021 ◽

Vol 76 (3) ◽

Author(s):

Jacek Chmieliński ◽

Divya Khurana ◽

Debmalya Sain

Keyword(s):

Approximate Symmetry ◽

Linear Spaces ◽

Normed Linear Spaces ◽

James Orthogonality

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The Birkhoff–James orthogonality in Hilbert C∗-modules

Linear Algebra and its Applications ◽

10.1016/j.laa.2012.05.011 ◽

2012 ◽

Vol 437 (7) ◽

pp. 1913-1929 ◽

Author(s):

Ljiljana Arambašić ◽

Rajna Rajić

Keyword(s):

James Orthogonality

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James orthogonality and orthogonal decompositions of Banach spaces

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2005.03.027 ◽

2005 ◽

Vol 312 (1) ◽

pp. 330-342 ◽

Author(s):

Ya.I. Alber

Keyword(s):

Banach Spaces ◽

James Orthogonality ◽

Orthogonal Decompositions

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Birkhoff-James Orthogonality and Its Application in the Study of Geometry of Banach Space

Advanced Topics in Mathematical Analysis ◽

10.1201/9781351142120-8 ◽

2019 ◽

pp. 245-284

Author(s):

Kallol Paul ◽

Debmalya Sain

Keyword(s):

Banach Space ◽

Geometry Of Banach Space ◽

James Orthogonality

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Approximate Birkhoff–James orthogonality in the space of bounded linear operators

Linear Algebra and its Applications ◽

10.1016/j.laa.2017.10.008 ◽

2018 ◽

Vol 537 ◽

pp. 348-357 ◽

Author(s):

Kallol Paul ◽

Debmalya Sain ◽

Arpita Mal

Keyword(s):

Linear Operators ◽

Bounded Linear Operators ◽

Bounded Linear ◽

James Orthogonality

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Non-linear modular Birkhoff-James orthogonality preservers between spaces of continuous functions

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2020.124744 ◽

2021 ◽

Vol 495 (2) ◽

pp. 124744

Author(s):

Ryotaro Tanaka

Keyword(s):

Continuous Functions ◽

Spaces Of Continuous Functions ◽

James Orthogonality ◽

Orthogonality Preservers

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The Birkhoff-James orthogonality of operators on infinite dimensional Banach spaces

Linear Algebra and its Applications ◽

10.1016/j.laa.2019.08.012 ◽

2019 ◽

Vol 582 ◽

pp. 440-451

Author(s):

Sun Kwang Kim ◽

Han Ju Lee

Keyword(s):

Banach Spaces ◽

Infinite Dimensional ◽

James Orthogonality

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Birkhoff–James orthogonality of operators in semi-Hilbertian spaces and its applications

Annals of Functional Analysis ◽

10.1215/20088752-2019-0001 ◽

2019 ◽

Vol 10 (3) ◽

pp. 433-445 ◽

Author(s):

Ali Zamani

Keyword(s):

James Orthogonality

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