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On the spectrum of elementary type operator

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Abstract

Let H be a complex separable Hilbert space and let B(H) be the algebra of all bounded linear operators on H. Let {l_brace}A{sub 1},...,A{sub n}{r_brace} and {l_brace}B{sub 1},...,B{sub n}{r_brace} be two commuting families of self-adjoint operators in B(H). In this paper we are concerned with the investigation of the spectrum of the elementary type operator {Gamma} : B(H) {yields} B(H) defined by {Gamma}(X) = {Sigma}{sup n}{sub i=1}A{sub i}XB{sub i} for all X in B(H). 8 refs.
Authors:
Khan, G A; [1]  Kyle, J [2] 
  1. International Centre for Theoretical Physics, Trieste (Italy)
  2. Birmingham Univ., Birmingham (United Kingdom). Dept. of Mathematics
Publication Date:
Nov 01, 1990
Product Type:
Technical Report
Report Number:
IC-90/323
Reference Number:
SCA: 661300; PA: AIX-23:012859; SN: 92000638750
Resource Relation:
Other Information: PBD: Nov 1990
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; HILBERT SPACE; MATHEMATICAL OPERATORS; ALGEBRA; 661300; OTHER ASPECTS OF PHYSICAL SCIENCE
OSTI ID:
10111536
Research Organizations:
International Centre for Theoretical Physics (ICTP), Trieste (Italy)
Country of Origin:
IAEA
Language:
English
Other Identifying Numbers:
Other: ON: DE92614139; TRN: XA9130234012859
Availability:
OSTI; NTIS (US Sales Only); INIS
Submitting Site:
INIS
Size:
5 p.
Announcement Date:
Jun 30, 2005

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Citation Formats

Khan, G A, and Kyle, J. On the spectrum of elementary type operator. IAEA: N. p., 1990. Web.
Khan, G A, & Kyle, J. On the spectrum of elementary type operator. IAEA.
Khan, G A, and Kyle, J. 1990. "On the spectrum of elementary type operator." IAEA.
@misc{etde_10111536,
title = {On the spectrum of elementary type operator}
 author = {Khan, G A, and Kyle, J}
 abstractNote = {Let H be a complex separable Hilbert space and let B(H) be the algebra of all bounded linear operators on H. Let {l_brace}A{sub 1},...,A{sub n}{r_brace} and {l_brace}B{sub 1},...,B{sub n}{r_brace} be two commuting families of self-adjoint operators in B(H). In this paper we are concerned with the investigation of the spectrum of the elementary type operator {Gamma} : B(H) {yields} B(H) defined by {Gamma}(X) = {Sigma}{sup n}{sub i=1}A{sub i}XB{sub i} for all X in B(H). 8 refs.}
 place = {IAEA}
 year = {1990}
 month = {Nov}
 }