Characterization of Birkhoff-James orthogonality

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:407

Article

Bhattacharyya, Tirthankar¹  Grover, Priyanka² 

[1] Indian Inst Sci, Dept Math, Bangalore 560012, Karnataka, India

[2] Indian Stat Inst, Delhi Ctr, Theoret Stat & Math Unit, New Delhi 110016, India

关键词: Birkhoff-James orthogonality;    Subdifferential;    Hausdorff-Toeplitz theorem;    Numerical range;    Separating Hyperplane theorem;    Singular value decomposition;    Operator tuples;    C*-algebra;    Hilbert C*-module;    State;    Variance;   

DOI  :  10.1016/j.jmaa.2013.05.022

来源: Elsevier

【 摘 要 】

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. (C) 2013 Elsevier Inc. All rights reserved.

【 授权许可】

Free