Title : ( On Bi-J-Class Bilinear Mappings on Banach Spaces )
Authors: ABOLFAZL NEZHADALI BAGHAN , Mohammad Janfada ,
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Abstract
We propose the notion of J-set for a bilinear mapping to define the concept of bi-J-class bilinear mapping. We prove that every bihypercyclic bilinear mapping is bi-J-class, although its reverse does not necessarily hold. It is indicated that some properties of bi-J-class bilinear mappings are similar to J-class operators, but some relevant counterexamples are presented to show that many familiar properties of J-class operators are not valid for this framework. Next, we deal with the Kato’s approximation of bilinear mappings and discuss their bi-J-class properties.
Keywords
, Bihypercyclic bilinear mapping · Bi, J, class bilinear mapping · Approximation in the sense of Kato
@article{paperid:1070505,
author = {NEZHADALI BAGHAN, ABOLFAZL and Janfada, Mohammad},
title = {On Bi-J-Class Bilinear Mappings on Banach Spaces},
journal = {Bulletin of the Iranian Mathematical Society},
year = {2018},
volume = {44},
number = {2},
month = {October},
issn = {1735-8515},
pages = {1653--1663},
numpages = {10},
keywords = {Bihypercyclic bilinear mapping · Bi-J-class bilinear mapping ·
Approximation in the sense of Kato},
}
%0 Journal Article
%T On Bi-J-Class Bilinear Mappings on Banach Spaces
%A NEZHADALI BAGHAN, ABOLFAZL
%A Janfada, Mohammad
%J Bulletin of the Iranian Mathematical Society
%@ 1735-8515
%D 2018
