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Extensions of Unbounded Representations

✍ Scribed by Atsushi Inoue; Hideki Kurose; Schǒichi Ǒta

Publisher
John Wiley and Sons
Year
1992
Tongue
English
Weight
619 KB
Volume
155
Category
Article
ISSN
0025-584X

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✦ Synopsis

Abstract

Induced extensions of unbounded (non *‐preserving, in general) representations of a *‐algebra are studied and some elementary facts are shown. For further study of *‐representation of non‐commutative *‐algebra, we introduce twisted extensions of *‐representations as a generalization of induced extensions. And we show that the SCHRÖDINGER representation of a WEYL‐algebra can be realized as a twisted extensions for any its *‐subrepresentation.

📜 SIMILAR VOLUMES

Quasi-Affinity for Unbounded Representat
Quasi-Affinity for Unbounded Representations
✍ Schôichi Ôta 📂 Article 📅 1990 🏛 John Wiley and Sons 🌐 English ⚖ 275 KB

## Abstract Quasi‐affinity for unbounded representations are introduced and it is shown that, if a self‐adjoint representation π is quasi‐affine to a \*‐representation ϱ, then ϱ is also self‐adjoint and π and ϱ are unitarily equivalent.