Title of article
Characterization of Birkhoff–James orthogonality
Author/Authors
Bhattacharyya، نويسنده , , Tirthankar and Grover، نويسنده , , Priyanka، نويسنده ,
Issue Information
دوهفته نامه با شماره پیاپی سال 2013
Pages
9
From page
350
To page
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.
Keywords
subdifferential , Numerical range , Separating Hyperplane theorem , Operator tuples , C ? -algebra , Hilbert C ? -module , Variance , Singular value decomposition , Birkhoff–James orthogonality , state , Hausdorff–Toeplitz theorem
Journal title
Journal of Mathematical Analysis and Applications
Serial Year
2013
Journal title
Journal of Mathematical Analysis and Applications
Record number
1563837
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