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(∞,C)-isometric operators

Title
(∞,C)-isometric operators
Authors
Chō M.Ko E.Lee J.E.
Ewha Authors
고응일
SCOPUS Author ID
고응일scopus
Issue Date
2017
Journal Title
Operators and Matrices
ISSN
1846-3886JCR Link
Citation
vol. 11, no. 3, pp. 793 - 806
Keywords
(∞,C)-isometric operatorM-isometric operatorQuasinilpotent operator
Publisher
Element D.O.O.
Indexed
SCIE; SCOPUS WOS scopus
Abstract
In this paper we study properties of (∞,C)-isometric operators. In particular, we prove that if T is an (∞,C)-isometry and Q is a quasinilpotent operator, then T + Q is an (∞,C)-isometry under suitable conditions. Moreover, we show that the class of (∞,C)-isometric operators is norm closed. Finally, we investigate properties of products and tensor products of (∞,C)-isometric operators. © 2017, Element D.O.O. All rights reserved.
DOI
10.7153/oam-11-56
Appears in Collections:
자연과학대학 > 수학전공 > Journal papers
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