Title : ( ORTHOGONALITY AND PARALLELISM OF OPERATORS ON VARIOUS BANACH SPACES )
Authors: C. Conde , P. Wojcik , A. Zamani ,
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Abstract
We present some properties of orthogonality and relate them with support disjoint and norm inequalities in $p-$Schatten ideals.In addition, we investigate the problem of characterization of norm--parallelism for bounded linear operators. We consider the characterization of norm--parallelism problem in $p-$Schatten ideals and locally uniformly convex spaces. Later on, we study the case when an operator is norm--parallel to the identity operator. Finally, we give some equivalence assertions about the norm--parallelism of compact operators. Some applications and generalizations are discussed for certain operators.
Keywords
, Orthogonality, norm--parallelism; Schatten $p-$norm, disjoint supports, trace, compact operator
@article{paperid:1067547,
author = {ک. کوند and پ. وویسیک and ع. زمانی},
title = {ORTHOGONALITY AND PARALLELISM OF OPERATORS ON VARIOUS BANACH SPACES},
journal = {Journal of the Australian Mathematical Society},
year = {2019},
volume = {106},
number = {2},
month = {April},
issn = {1446-7887},
pages = {160--183},
numpages = {23},
keywords = {Orthogonality; norm--parallelism; Schatten $p-$norm; disjoint supports; trace; compact operator},
}
%0 Journal Article
%T ORTHOGONALITY AND PARALLELISM OF OPERATORS ON VARIOUS BANACH SPACES
%A ک. کوند
%A پ. وویسیک
%A ع. زمانی
%J Journal of the Australian Mathematical Society
%@ 1446-7887
%D 2019
