Matrix maps of bounded sequences in a Banach space
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- by I. J. Maddox PDF
- Proc. Amer. Math. Soc. 63 (1977), 82-86 Request permission
Abstract:
Matrices of bounded linear operators are applied to bounded sequences in a Banach space. The main result is related to Knopp’s core theorem for scalar sequences and matrices. From the main result, necessary and sufficient conditions are given for a matrix of operators to map bounded sequences into null sequences in a Banach space.References
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Additional Information
- © Copyright 1977 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 63 (1977), 82-86
- MSC: Primary 40J05
- DOI: https://doi.org/10.1090/S0002-9939-1977-0447877-9
- MathSciNet review: 0447877