𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Isomorphisms of Cartesian products of linear topological spaces

✍ Scribed by V. P. Zakharyuta

Publisher
Springer US
Year
1970
Tongue
English
Weight
149 KB
Volume
4
Category
Article
ISSN
0016-2663

No coin nor oath required. For personal study only.

πŸ“œ SIMILAR VOLUMES

Cartesian Products of Graphs and Metric
Cartesian Products of Graphs and Metric Spaces
✍ S. Avgustinovich; D. Fon-Der-Flaass πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 68 KB

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 Γ— U V Γ— V with U , V compact metric spaces, will then U and V be isometr

Productivity of some classes of topologi
Productivity of some classes of topological linear spaces
✍ Miroslav HusΜ†ek πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 976 KB

The Mackey theorem on products of bomological spaces is generalized to classes of topological linear spaces closed under quotients and inductive limits: either they are not countably productive or are nonmeasurably productive. The result can be shifted up to higher measurable cardinals. It is shown

On the definition of isomorphisms of lin
On the definition of isomorphisms of linear spaces
✍ Alexander Kreuzer πŸ“‚ Article πŸ“… 1996 πŸ› Springer 🌐 English βš– 221 KB

Let (P, ~) and (P', ~') be linear spaces satisfying the exchange axiom with dim P = dim P' E N. Then a bijection ~: P ---, P' which maps collinear points onto collinear points is an isomorphism. Also a surjection ~b: P ---. P' which maps any three non-collinear points to noncollinear points is an is