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.

 

Reflexivity of operator spaces
HTML articles powered by AMS MathViewer

by J. M. Baker PDF
Proc. Amer. Math. Soc. 85 (1982), 366-368 Request permission

Abstract:

For reflexive Banach spaces $E$ and $F$ (with $E$ or $F$ having the approximation property), the space of opeartors from $E$ into $F$ (the inductive tensor product of ${E^ * }$ with $F$) is reflexive if and only if the operator space coincides with the inductive tensor product of ${E^ * }$ with $F$. Consequently, $E$ must be finite-dimensional if either the projective tensor product of $E$ with ${E^ * }$ is reflexive, or the inductive tensor product of $E$ with ${E^ * }$ is reflexive and $E$ has the approximation property.
References
Similar Articles
  • Retrieve articles in Proceedings of the American Mathematical Society with MSC: 47D15, 46A32, 46B10
  • Retrieve articles in all journals with MSC: 47D15, 46A32, 46B10
Additional Information
  • © Copyright 1982 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 85 (1982), 366-368
  • MSC: Primary 47D15; Secondary 46A32, 46B10
  • DOI: https://doi.org/10.1090/S0002-9939-1982-0656104-0
  • MathSciNet review: 656104