On a Numerical Radius Preserving Onto Isometry on L(X)
Author
Source
Issue
Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-3, 3 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2016-10-12
Country of Publication
Egypt
No. of Pages
3
Main Subjects
Abstract EN
We study a numerical radius preserving onto isometry on L(X).
As a main result, when X is a complex Banach space having both uniform smoothness and uniform convexity, we show that an onto isometry T on L(X) is numerical radius preserving if and only if there exists a scalar cT of modulus 1 such that cTT is numerical range preserving.
The examples of such spaces are Hilbert space and Lp spaces for 1
American Psychological Association (APA)
Kim, Sun Kwang. 2016. On a Numerical Radius Preserving Onto Isometry on L(X). Journal of Function Spaces،Vol. 2016, no. 2016, pp.1-3.
https://search.emarefa.net/detail/BIM-1108667
Modern Language Association (MLA)
Kim, Sun Kwang. On a Numerical Radius Preserving Onto Isometry on L(X). Journal of Function Spaces No. 2016 (2016), pp.1-3.
https://search.emarefa.net/detail/BIM-1108667
American Medical Association (AMA)
Kim, Sun Kwang. On a Numerical Radius Preserving Onto Isometry on L(X). Journal of Function Spaces. 2016. Vol. 2016, no. 2016, pp.1-3.
https://search.emarefa.net/detail/BIM-1108667
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1108667
