Title : ( Norm-parallelism and the Davis–Wielandt radius of Hilbert space operators )
Authors: Ali Zamani , Mohammad Sal Moslehian , Mao-Ting Chien , Hiroshi Nakazato ,
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Abstract
We present a necessary and sufficient condition for the normparallelism of bounded linear operators on a Hilbert space. We also give a characterization of the Birkhoff–James orthogonality for Hilbert space operators. Moreover, we discuss the connection between norm-parallelism to the identity operator and an equality condition for the Davis–Wielandt radius. Some other related results are also discussed.
Keywords
, Birkhoff–James orthogonality; norm, parallelism; numerical radius; Davis–Wielandt radius
@article{paperid:1077829,
author = {علی زمانی and Sal Moslehian, Mohammad and Mao-Ting Chien and Hiroshi Nakazato},
title = {Norm-parallelism and the Davis–Wielandt radius of Hilbert space operators},
journal = {Linear and Multilinear Algebra},
year = {2019},
volume = {67},
number = {11},
month = {November},
issn = {0308-1087},
pages = {2147--2158},
numpages = {11},
keywords = {Birkhoff–James
orthogonality;
norm-parallelism; numerical
radius; Davis–Wielandt
radius},
}
%0 Journal Article
%T Norm-parallelism and the Davis–Wielandt radius of Hilbert space operators
%A علی زمانی
%A Sal Moslehian, Mohammad
%A Mao-Ting Chien
%A Hiroshi Nakazato
%J Linear and Multilinear Algebra
%@ 0308-1087
%D 2019
