Nemytskii-type differential equation in a Hilbert space X satisfying a relationship of the form x 1 = G x 0 is investigated. Here G is a prespecified operator defined on X.
Hilbert spaces expanded with a unitary operator
β Scribed by Camilo Argoty; Alexander Berenstein
- Publisher
- John Wiley and Sons
- Year
- 2009
- Tongue
- English
- Weight
- 181 KB
- Volume
- 55
- Category
- Article
- ISSN
- 0044-3050
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β¦ Synopsis
Abstract
We study Hilbert spaces expanded with a unitary operator with a countable spectrum. We show that the theory of such a structure is Ο βstable and admits quantifier elimination. (Β© 2009 WILEYβVCH Verlag GmbH & Co. KGaA, Weinheim)
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.
## Abstract The vector play operator is the solution operator of a class of evolution variational inequalities arising in continuum mechanics. For regular data, the existence of solutions is easily obtained from general results on maximal monotone operators. If the datum is a continuous function of