Title : ( Norm-parallelism in the geometry of Hilbert C^*-modules )
Authors: Ali Zamani , Mohammad Sal Moslehian ,
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Abstract
Utilizing the Birkhoff–James orthogonality, we present some characterizations of the norm-parallelism for elements of B(ℋ)B(ℋ) defined on a finite dimensional Hilbert space, elements of a Hilbert C∗C∗-module over the C∗C∗-algebra of compact operators and elements of an arbitrary C∗C∗-algebra. We also consider the characterization of norm parallelism problem for operators on a finite dimensional Hilbert space when the operator norm is replaced by the Schatten pp-norm. Some applications and generalizations are discussed for certain elements of a Hilbert C∗C∗-module.
Keywords
, Hilbert $C^*$, module; state; parallelism; orthogonality; $C^*$, algebra
@article{paperid:1053912,
author = {Zamani, Ali and Sal Moslehian, Mohammad},
title = {Norm-parallelism in the geometry of Hilbert C^*-modules},
journal = {Indagationes Mathematicae},
year = {2016},
volume = {27},
number = {1},
month = {January},
issn = {0019-3577},
pages = {266--281},
numpages = {15},
keywords = {Hilbert $C^*$-module; state; parallelism; orthogonality; $C^*$-algebra},
}
%0 Journal Article
%T Norm-parallelism in the geometry of Hilbert C^*-modules
%A Zamani, Ali
%A Sal Moslehian, Mohammad
%J Indagationes Mathematicae
%@ 0019-3577
%D 2016
