Linear Functionals Invariant Under Measure Preserving Transformations
✍ Scribed by Stanisłlaw Kwapień
- Publisher
- John Wiley and Sons
- Year
- 1984
- Tongue
- English
- Weight
- 270 KB
- Volume
- 119
- Category
- Article
- ISSN
- 0025-584X
No coin nor oath required. For personal study only.
✦ Synopsis
does there exist a lion standard linear functional on Zp which is invariant under permutations e.g. which has the same value on each two elements in lp one of which is obtained from the other by a permutation of the coordinates. An answer to this and related problems will appear in a paper by T. FIGIEL. In this paper we will consider a similiar problem for L,(SZ. Z, p) in which permutations are replaced b.v measure preserving transformations of (Q, Z. p) and where (Q, C, p) is a standard measure space. By a standard measure space we will mean a measure space which is isomorphic to a finite interval with the a-field of LERESGTE measurable sets and the LEBESGUE measure and by a measure preserving transformation of