Please use this identifier to cite or link to this item:
http://hdl.handle.net/20.500.12358/26152
Title | Centrality in BL (X), The Banach algebra of bounded linear operators |
---|---|
Untitled | |
Abstract |
In this paper we show that for a complex Banach algebra A = BL(X) of all bounded linear operators on the Banach space X, the set of all rho-quasi central elements of A is a subset of each of. (i) the set of all discrete rho-quasi central elements; (U) the set of all continuous rho-quasi central elements; (W) the set of all residual rho-quasi central elements; and (iv) the set of all approximate discrete rho-quasi central elements of A, and this set inclusion may be proper, but in the case that X is finite dimensional we see that the set of all discrete rho-quasi central elements, the set of all approximate discrete rho-quasi central elements and the set of all rho-quasi central elements of A all are identical, in the other hand the set of all continuous rho-quasi central elements, the set of all residual rho-quasi central elements of A and A are equal. Also we show that any normal operator on a Hilbert space H is a residual rho-quasi … |
Authors | |
Type | Journal Article |
Date | 2002 |
Published in | Arabian Journal for Science and Engineering |
Series | Volume: 27, Number: 2 A |
Publisher | KING FAHD UNIV PETROLEUM MINERALS |
Citation | |
Item link | Item Link |
License | ![]() |
Collections | |
Files in this item | ||
---|---|---|
There are no files associated with this item. |