Skip to Main Content

Proceedings of the American Mathematical Society

Published by the American Mathematical Society, the Proceedings of the American Mathematical Society (PROC) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

Contractive projections in square Banach spaces
HTML articles powered by AMS MathViewer

by Nina M. Roy PDF
Proc. Amer. Math. Soc. 59 (1976), 291-296 Request permission

Abstract:

It is proved that if $X$ is a square space and $P$ is a contractive projection in $X$, then $PX$ is square; and if $X$ is regular, then $PX$ is regular. It is also shown that a regular square space is isometric to the image, under a contractive projection, of a regular (square) Kakutani $M$-space. These results are analogous to those obtained for other classes of ${L_1}$-preduals by Lindenstrauss and Wulbert, and in this paper their diagram of ${L_1}$-preduals is enlarged so as to include the classes of square, regular square and regular $M$spaces.
References
Similar Articles
  • Retrieve articles in Proceedings of the American Mathematical Society with MSC: 46E10, 46B99
  • Retrieve articles in all journals with MSC: 46E10, 46B99
Additional Information
  • © Copyright 1976 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 59 (1976), 291-296
  • MSC: Primary 46E10; Secondary 46B99
  • DOI: https://doi.org/10.1090/S0002-9939-1976-0428020-8
  • MathSciNet review: 0428020