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On q–deformed hyponormal operators

✍ Scribed by Schôichi Ôta

Publisher
John Wiley and Sons
Year
2003
Tongue
English
Weight
126 KB
Volume
248-249
Category
Article
ISSN
0025-584X

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✦ Synopsis

Abstract

The present paper deals with operators in a Hilbert space related to the theory of quantum groups. Some results on q–deformed hyponormal operators extend ones on q–normal operators. For a q–deformed operator T the Cartesian decomposition of the inverse T^–1^ is characterized and the product BT with bounded operator B is analyzed, and a q–analogue of the Fuglede–Putnam theorem is discussed.

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