A Nonlinear Characterization of Hilbert Spaces
β Scribed by Markus Kunze
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 106 KB
- Volume
- 204
- Category
- Article
- ISSN
- 0022-247X
No coin nor oath required. For personal study only.
β¦ Synopsis
We show that a Banach space is Hilbert if any only if its duality map maps line segments to convex sets.
π SIMILAR VOLUMES
## Abstract The author proposes an extension of reproducing kernel Hilbert space theory which provides a new framework for analyzing functional responses with regression models. The approach only presumes a general nonlinear regression structure, as opposed to existing linear regression models. The
## 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)