Characterizations of continuous and Lipschitz continuous metric selections in normed linear spaces
โ Scribed by Frank Deutsch; Wu Li; Sung-Ho Park
- Publisher
- Elsevier Science
- Year
- 1989
- Tongue
- English
- Weight
- 803 KB
- Volume
- 58
- Category
- Article
- ISSN
- 0021-9045
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
We show that one can construct a continuous selection for the metric projection in the space of continuous functions by the Pรณlya algorithm. Moreover, the existence of a continuous selection for the metric projection is equivalent to the stable convergence of the Pรณlya algorithm. 1995 Academic Press
A principal result of the paper is that if E is a symmetric Banach function space on the positive half-line with the Fatou property then, for all semifinite von Neumann algebras (M, {), the absolute value mapping is Lipschitz continuous on the associated symmetric operator space E(M, {) with Lipschi
A number of writers have defined a concept of angle in a normed linear space or metric space by means of the law of cosines, and have studied the properties of these angles obtaining, in some cases, characterizations of real inner product spaces. (For a summary of earlier results see MARTIN and VAL