On the existence of strongly series summable Markuschevich bases in Banach spaces
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- by William B. Johnson
- Trans. Amer. Math. Soc. 157 (1971), 481-486
- DOI: https://doi.org/10.1090/S0002-9947-1971-0282201-5
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Abstract:
The main result is: Let $X$ be a complex separable Banach space. If the identity operator on ${X^ \ast }$ is the limit in the strong operator topology of a uniformly bounded net of linear operators of finite rank, then $X$ admits a strongly series summable Markuschevich basis.References
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Bibliographic Information
- © Copyright 1971 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 157 (1971), 481-486
- MSC: Primary 46.10
- DOI: https://doi.org/10.1090/S0002-9947-1971-0282201-5
- MathSciNet review: 0282201