[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/BKMS.2006.43.4.671

ON THE RANGE CLOSURE OF AN ELEMENTARY OPERATOR

Canavati Jose Angel (CIMAT)
Djordjevic Slavisa V. (FACULTAD DE CINENCIAS FISICO-MATEMATICAS, BUAP)
Duggal Bhagwati Prasad (REDWOOD GROVE, NORTHFIELD AVENUE)

Publication Information

Bulletin of the Korean Mathematical Society / v.43, no.4, 2006 , pp. 671-677 More about this Journal

Abstract

Let $A, B{\in}B(H)$ be Hilbert space contractions, and let ${\Delta}_{AB}$ be the elementary operator ${\Delta}_{AB}:X{\rightarrow}AXB-X$ . A number of conditions which are equivalent to ' ${\Delta}_{AB}$ has closed range' are proved.

Keywords

elementary operators; quasinilpotent part; numerical range; pole; orthogonality;

Citations & Related Records

Times Cited By SCOPUS : 0

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