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Ideals in algebras of unbounded operators. II

✍ Scribed by W. Timmermann

Publisher
John Wiley and Sons
Year
1979
Tongue
English
Weight
345 KB
Volume
93
Category
Article
ISSN
0025-584X

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✦ Synopsis

Ideals in algebras of unbounded operators. I1

By W. TIMMERMANN of Leipzig (Eingegangen am 12. 5. 1978) This paper is part I1 of the investigations begun in [4]. There two classes of ideals in algebras of unbounded operators were defined: So(%) and M(S,(9), SF(9)), where @ is a symmetric norming function [i]. In [4] algebraical and topo- logical properties of 8 , (9) were investigated. Now we indicate some properties of B(S&O), S,( 9)) and show how these ideals are connected with So(%)) by duality properties. All results are taken from [5]. In section 1 we collect some definitions (cf. [l], [el) and results from [4]. Section 2 contains properties of M ( . , .) while section 3 deals with the duality mentioned above.

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