On the random Dugundji extension theorem
β Scribed by F.S. De Blasi; J. Myjak
- Publisher
- Elsevier Science
- Year
- 1987
- Tongue
- English
- Weight
- 361 KB
- Volume
- 128
- Category
- Article
- ISSN
- 0022-247X
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π SIMILAR VOLUMES
The central purpose of this paper is to prove the following theorem: let \((\Omega, \sigma\), \(u)\) be a complete probability space, \((B,\|\cdot\|)\) a normed linear space over the scalar field \(K, E: \Omega \rightarrow 2^{B}\) a separable random domain with linear subspace values, and \(f: \oper
We obtain a measurable KirzbraunαValentine extension theorem. As applications, we prove a random approximation theorem and a random fixed point theorem. Our results extend several earlier ones existing in the literature.
## Extension of Toyoda's theorem on entropic groupoids By VLADIMRC VOLENEC of Zagreb (Eingegangen am 8. 10. 1980) A groupoid (a, .) is said to be entropic iff for every a, b, c, d E G the equality (1) ab cd = acbd holds true. A well-known TOYODA'S theorem ([S], [a], [21 and [l], 1). 33) asserts th