Extensions and restrictions in products of metric spaces
✍ Scribed by M. Hušek; J. Pelant
- Publisher
- Elsevier Science
- Year
- 1987
- Tongue
- English
- Weight
- 563 KB
- Volume
- 25
- Category
- Article
- ISSN
- 0166-8641
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
We prove uniqueness of decomposition of a finite metric space into a product of metric spaces for a wide class of product operations. In particular, this gives the positive answer to the long-standing question of S. Ulam: 'If U × U V × V with U , V compact metric spaces, will then U and V be isometr
The properties of certain sets called prefibers in a metric space are used to show that the algebraic properties of the Cartesian product of graphs generalize to metric spaces. Definition 1.1. (i) Let X = lJEIXi, for i E I, pri denotes the projection on Xi; for x E X, the i-fiber of X through x is
Let X, Y be two separable Banach spaces and let V/X and W/Y be finite dimensional subspaces. Suppose that V/S/X, W/Z/Y and let M # L(S, V), N # L(Z, W ). We will prove that if : is a reasonable, uniform crossnorm on X Y then Here for any Banach space X, V/S/X and M # L(S, V ) Also some application