Orthogonal decomposition of isometries in a Banach space-Reference-Cited by-同舟云学术

Orthogonal decomposition of isometries in a Banach space

Published:1978 Issue:1 Volume:69 Page:125-128
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Faulkner G. D.,Huneycutt J. E.

Abstract

In this paper the Wold decomposition theorem is proved for a class of isometries in smooth reflexive Banach spaces. The class in particular contains all isometries of L p ( μ ) {L^p}(\mu ) spaces for arbitrary measures μ \mu .

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1978-069-01/S0002-9939-1978-0463954-1/S0002-9939-1978-0463954-1.pdf

Reference7 articles.

1. Representation of linear functionals in a Banach space;Faulkner, Gary D.;Rocky Mountain J. Math.,1977

2. Classes of semi-inner-product spaces;Giles, J. R.;Trans. Amer. Math. Soc.,1967

3. On isometries of normed linear spaces;Koehler, D.;Studia Math.,1970

4. On the isometries of certain function-spaces;Lamperti, John;Pacific J. Math.,1958

5. Semi-inner-product spaces;Lumer, G.;Trans. Amer. Math. Soc.,1961

Cited by 6 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. On Non-linear Mappings Preserving the Semi-inner Product;Results in Mathematics;2023-08-19

2. Prediction theory for stationary functional time series;Probability Surveys;2022-01-01

3. Wold–Słociński decompositions for commuting isometric triples;Journal of Mathematical Analysis and Applications;2019-04

4. Strong orthogonal decompositions and non-linear impulse response functions for infinite-variance processes;Canadian Journal of Statistics;2006-09

5. Innovations and Wold decompositions of stable sequences;Probability Theory and Related Fields;1988-09