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Ideals in Algebras of Unbounded Operators

✍ Scribed by W. Timmermann

Publisher
John Wiley and Sons
Year
1979
Tongue
English
Weight
644 KB
Volume
92
Category
Article
ISSN
0025-584X

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✦ Synopsis

Abstract

A general procedure is given to get ideals in algebras of unbounded operators starting with ideals in ℬ︁(ℋ︁). Algebraical and topological properties of ideals obtained in this manner from the well‐known symmetrically‐normed ideals S~Ο•~(ℋ︁) are described.

πŸ“œ SIMILAR VOLUMES

Ideals in algebras of unbounded operator
Ideals in algebras of unbounded operators. II
✍ W. Timmermann πŸ“‚ Article πŸ“… 1979 πŸ› John Wiley and Sons 🌐 English βš– 345 KB

## 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

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The closure of the set of finite dimensional operators of a+@) with respect to different topologies is oonaidered. The obtained ideals have many properties similar to those of the idcal of completely continuous operatom on ~E B T space. For example, under some appropriate aesumpt.ione all oontinuous

Some Algebras of unbounded Operators
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✍ Robert M. Brooks πŸ“‚ Article πŸ“… 1973 πŸ› John Wiley and Sons 🌐 English βš– 717 KB