## Abstract Elsewhere we develop an aspect of analysis on the simplest space of type __G/K__ when __G__ = SL~2~(**C**) and __K__ is the unitary subgroup, having to do with the analogue of Poisson's inversion formula and resulting additive zeta functions obtained by applying the Gauss transform. The
On the Non-nuclearity of a Space of Test Functions on Hilbert Space
β Scribed by R. Donnelly
- Publisher
- Elsevier Science
- Year
- 1995
- Tongue
- English
- Weight
- 266 KB
- Volume
- 128
- Category
- Article
- ISSN
- 0022-1236
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π SIMILAR VOLUMES
Every non-reflexive subspace of K(H), the space of compact operators on a Hilbert space H, contains an asymptotically isometric copy of c 0 . This, along with a result of Besbes, shows that a subspace of K(H) has the fixed point property if and only if it is reflexive.
It was about 1932 that TOEPLITZ and I discovered the convergence-free spaces, the first general results appeared in [7]. F. NENN, a student of mine, studied in [8] the spaces of finite degree. I generalized his theory to the class of spaces of countable degree in [Z]. Further progress seemed at tha
## Abstract Analytic operator valued functions of two operators on tensor products of Hilbert spaces are considered. A precise norm estimate is established. Applications to operator differential equations are also discussed. (Β© 2008 WILEYβVCH Verlag GmbH & Co. KGaA, Weinheim)