Hostname: page-component-76fb5796d-qxdb6 Total loading time: 0 Render date: 2024-04-29T13:02:27.582Z Has data issue: false hasContentIssue false
  • English
  • Français

A characterization of unitary operators induced by nonsingular transformations and its applications

Published online by Cambridge University Press:  22 January 2016

Hiroshi Sato  and
Yukimasa Oka
Hiroshi Sato
Affiliation:
Kyushu University
Yukimasa Oka
Affiliation:
Kyushu University
Rights & Permissions [Opens in a new window]

Extract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

In this paper we give a necessary and sufficient condition for a unitary operator on an L2-space to be induced by a nonsingular transformation and its applications.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 53 , May 1974 , pp. 189 - 198
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1974

References

[1] Dixmier, J.: Les algèbres d’opérateurs dans l’espace hilbertien. Gauthier-Villars. Paris (1957).Google Scholar
[2] Totoki, H.: Introduction to the ergodic theory. Kyoritsu, Tokyo (1971). (in Japanese)Google Scholar
[3] Sato, H.: Rotations of induced by nonsingular transformations. (to appear in Memoirs of the Fac. Sci. Kyushu Univ. Ser A, Vol. 28 (1974).Google Scholar