Boundedly complete $M$-bases and complemented subspaces in Banach spaces
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- by William J. Davis and Ivan Singer PDF
- Trans. Amer. Math. Soc. 175 (1973), 187-194 Request permission
Abstract:
Subsequences of boundedly complete M-bases need not be boundedly complete. An example of a somewhat reflexive space is given whose dual and one of whose factors fail to be somewhat reflexive. A geometric description of boundedly complete M-bases is given which is equivalent to the definitions of V. D. Milman and W. B. Johnson. Finally, certain M-bases for separable spaces give rise to proper complemented subspaces.References
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Additional Information
- © Copyright 1973 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 175 (1973), 187-194
- MSC: Primary 46B15
- DOI: https://doi.org/10.1090/S0002-9947-1973-0317011-5
- MathSciNet review: 0317011