Subalgebras of $B(X)$
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- by Albert Wilansky PDF
- Proc. Amer. Math. Soc. 29 (1971), 355-360 Request permission
Erratum: Proc. Amer. Math. Soc. 34 (1972), 632.
Abstract:
Two classes of subalgebras of the bounded operators on a Banach space X are introduced. This gives an abstract setting, generalizations, and some shorter proofs of results in summability which are the special case $X = c$.References
- I. David Berg, A Banach algebra criterion for Tauberian theorems, Proc. Amer. Math. Soc. 15 (1964), 648–652. MR 165285, DOI 10.1090/S0002-9939-1964-0165285-6
- H. I. Brown, D. R. Kerr, and H. H. Stratton, The structure of $B[c]$ and extensions of the concept of conull matrix, Proc. Amer. Math. Soc. 22 (1969), 7–14. MR 304931, DOI 10.1090/S0002-9939-1969-0304931-5
- Nelson Dunford and Jacob T. Schwartz, Linear Operators. I. General Theory, Pure and Applied Mathematics, Vol. 7, Interscience Publishers, Inc., New York; Interscience Publishers Ltd., London, 1958. With the assistance of W. G. Bade and R. G. Bartle. MR 0117523
- A. E. Taylor, The extension of linear functionals, Duke Math. J. 5 (1939), 538–547. MR 345, DOI 10.1215/S0012-7094-39-00545-4
- Albert Wilansky, Functional analysis, Blaisdell Publishing Co. [Ginn and Co.], New York-Toronto-London, 1964. MR 0170186
- Albert Wilansky, Topological divisors of zero and Tauberian theorems, Trans. Amer. Math. Soc. 113 (1964), 240–251. MR 168967, DOI 10.1090/S0002-9947-1964-0168967-X
- Bertram Yood, Transformations between Banach spaces in the uniform topology, Ann. of Math. (2) 50 (1949), 486–503. MR 29474, DOI 10.2307/1969464
Additional Information
- © Copyright 1971 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 29 (1971), 355-360
- MSC: Primary 46.55; Secondary 40.00
- DOI: https://doi.org/10.1090/S0002-9939-1971-0282217-4
- MathSciNet review: 0282217