Article

Real ideals of compact operators of complex factors

Sergio AlbeverioBiBoS, Bielefeld, GermanyR. A. DadakhodjaevInstitute of Mathematics, National University of Uzbekistan, Vuz gorodok, 100095, Tashkent, UzbekistanA. A. RakhimovTashkent Automobile and Road Construction Institute, 20 Amir Temir Shoh. Str., 100060, Tashkent, Uzbekistan

Positivityjournal2013en

ABI

Abstract

Real ideals of compact operators for (complex) factors are investigated. A description (up to isomorphisms) of real two-sided ideals of relatively compact operators of a complex W*-factors is given. A relative weak (RW) $$_r$$ convergence in a real Hilbert space is introduced. The classical Hilbert characterization of compactness of operators is extended to the compact operators in semifinite real W*-algebras.

Topics

Advanced Operator Algebra Research Holomorphic and Operator Theory Advanced Banach Space Theory

Identifiers

DOI: 10.1007/s11117-013-0226-8

Citations and references

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