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Characterization of Birkhoff-James orthogonality
T. Bhattacharyya,
Published in
2013
Volume: 407
   
Issue: 2
Pages: 350 - 358
Abstract
The Birkhoff-James orthogonality is a generalization of Hilbert space orthogonality to Banach spaces. We investigate this notion of orthogonality when the Banach space has more structures. We start by doing so for the Banach space of square matrices moving gradually to all bounded operators on any Hilbert space, then to an arbitrary C*-algebra and finally a Hilbert C*-module. © 2013 Elsevier Ltd.
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