Skip to Main Content

Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles 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.

 

Distance estimates for von Neumann algebras
HTML articles powered by AMS MathViewer

by Shlomo Rosenoer PDF
Proc. Amer. Math. Soc. 86 (1982), 248-252 Request permission

Abstract:

It is shown that for certain von Neumann algebras $\mathcal {A}$, there is a constant $C$ such that \[ {\text {dist}}(T, \mathcal {A}) \leqslant C\sup \limits _{P \in {\text {lat}}\mathcal {A}} \left \| {{P^ \bot }TP} \right \|\quad {\text {for}}\;{\text {all}}\;T\;{\text {in}}\;\mathcal {B}{\text {(}}\mathcal {H}{\text {)}}{\text {.}}\]
References
    W. B. Arveson, Interpolation problems in nest algebras, J. Funct. Anal. 20 (1975), 208-233. E. Christensen, Perturbations of operator algebras. II, Indiana Univ. Math. J. 26 (1977), 891-904. K. R. Davidson, Commutative subspace lattices, Indiana Univ. Math. J. 27 (1978), 479-490. F. Gilfeather and D. R. Larson, Nest subalgebras of von Neumann algebras: Commutants modulo compacts and distance estimates, preprint. B. E. Johnson, Characterization and norms of derivations on von Neumann algebras, Lecture Notes in Math., vol. 725, Springer, Berlin and New York, 1979, pp. 228-236. B. E. Johnson and S. K. Parrott, Operators commuting with a von Neumann algebra modulo the set of compact operators, J. Funct. Anal. 11 (1972), 39-61. H. Radjavi and P. Rosenthal, Invariant subspaces, Springer-Verlag, Berlin, 1973. J. T. Schwartz, ${W^ * }$-algebras, Gordon and Breach, New York, 1967.
Similar Articles
  • Retrieve articles in Proceedings of the American Mathematical Society with MSC: 46L10
  • Retrieve articles in all journals with MSC: 46L10
Additional Information
  • © Copyright 1982 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 86 (1982), 248-252
  • MSC: Primary 46L10
  • DOI: https://doi.org/10.1090/S0002-9939-1982-0667283-3
  • MathSciNet review: 667283