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Summer 2018 Orthogonality of bounded linear operators on complex Banach spaces
Kallol Paul, ‎Debmalya Sain, ‎Arpita Mal, Kalidas Mandal
Adv. Oper. Theory 3(3): 699-709 (Summer 2018). DOI: 10.15352/aot.1712-1268

Abstract

‎We study Birkhoff-James orthogonality of compact linear operators on complex reflexive Banach spaces and obtain its characterization‎. ‎By means of introducing new definitions‎, ‎we illustrate that it is possible in the complex case‎, ‎to develop a study of orthogonality of compact linear operators‎, ‎analogous to the real case‎. ‎Furthermore‎, ‎earlier operator theoretic characterizations of Birkhoff-James orthogonality in the real case‎, ‎can be obtained as simple corollaries to our present study‎. ‎In fact‎, ‎we obtain more than one equivalent characterizations of Birkhoff-James orthogonality of compact linear operators in the complex case‎, ‎in order to distinguish the complex case from the real case‎.

Citation

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Kallol Paul. ‎Debmalya Sain. ‎Arpita Mal. Kalidas Mandal. "Orthogonality of bounded linear operators on complex Banach spaces." Adv. Oper. Theory 3 (3) 699 - 709, Summer 2018. https://doi.org/10.15352/aot.1712-1268

Information

Received: 1 December 2017; Accepted: 11 March 2018; Published: Summer 2018
First available in Project Euclid: 4 April 2018

zbMATH: 06902462
MathSciNet: MR3795110
Digital Object Identifier: 10.15352/aot.1712-1268

Subjects:
Primary: 46B20
Secondary: 47L05

Keywords: Birkhoff-James Orthogonality , ‎bounded linear operator , ‎complex Banach space

Rights: Copyright © 2018 Tusi Mathematical Research Group

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Vol.3 • No. 3 • Summer 2018
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