๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Norms of certain Jordan elementary operators

โœ Scribed by Xiaoli Zhang; Guoxing Ji

Book ID
108178237
Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
126 KB
Volume
346
Category
Article
ISSN
0022-247X

No coin nor oath required. For personal study only.

๐Ÿ“œ SIMILAR VOLUMES

Norms and CB norms of Jordan elementary
Norms and CB norms of Jordan elementary operators
โœ Richard M. Timoney ๐Ÿ“‚ Article ๐Ÿ“… 2003 ๐Ÿ› Elsevier Science ๐ŸŒ French โš– 136 KB

We establish lower bounds for norms and CB-norms of elementary operators on B(H ). Our main result concerns the operator T a,b x = axb + bxa and we show T a,b a b , proving a conjecture of M. Mathieu. We also establish some other results and formulae for T a,b cb and T a,b for special cases.

Rank one operators and norm of elementar
Rank one operators and norm of elementary operators
โœ Ameur Seddik ๐Ÿ“‚ Article ๐Ÿ“… 2007 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 141 KB

Let A be a standard operator algebra acting on a (real or complex) normed space E. For two n-tuples A = (A 1 , . . . , A n ) and B = (B 1 , . . . , B n ) of elements in A, we define the elementary operator R A,B on A by the relation R A,B (X) = n i=1 A i XB i for all X in A. For a single operator A