On Birkhoff – James and Roberts orthogonality

Author:

Arambašic Ljiljana1,Rajic Rajna2

Affiliation:

1. Department of Mathematics, Faculty of Science, University of Zagreb, Bijenicka cesta 30, 10000 Zagreb , Croatia

2. Faculty of Mining, Geology and Petroleum Engineering, University of Zagreb, Pierottijeva 6, 10000 Zagreb , Croatia

Abstract

Abstract In this paper we present some recent results on characterizations of the Birkhoff-James and the Roberts orthogonality in C*-algebras and Hilbert C*-modules.

Publisher

Walter de Gruyter GmbH

Subject

Geometry and Topology,Algebra and Number Theory

Reference42 articles.

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2. [2] J. Alonso, C. Benitez, Orthogonality in normed linear spaces: a survey. Part I: main properties, Extracta Math. 3 (1988) 1-15.

3. [3] J. Alonso, C. Benitez, Orthogonality in normed linear spaces: a survey. Part II: relations between main orthogonalities, Extracta Math. 4 (3) (1989) 121-131.

4. [4] Lj. Arambašic, T. Beric, R. Rajic, Roberts orthogonality and Davis-Wielandt shell, Linear Algebra Appl. 539 (2018) 1-13.

5. [5] Lj. Arambašic, R. Rajic, The Birkhoff-James orthogonality in Hilbert C*-modules, Linear Algebra Appl. 437 (2012) 1913-1929.

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