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10 - Matrix Maps, Multipliers, and Duality

from Part III - Discrete Functional Analysis

Published online by Cambridge University Press:  06 January 2022

Martin Buntinas
Martin Buntinas
Affiliation:
Loyola University, Chicago
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Summary

Frechet K-spaces (FK-spaces) are introduced. They are more general than BK-spaces and are more suited to the study of Topological Sequence Spaces. All Matrix Mappings between FK-spaces are continuous. Alpha, Beta, and Sigma duality between Sequence Spaces are considered and the more general Multiplier Spaces are studied. An application to Matrix Mechanics of Quantum Theory is discussed.

Keywords

FK-spacesMultipliers and DualityMatrix MapsMatrix MechanicsQuantum TheoryAlpha-dualBeta-dualSigma-dual
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Classical and Discrete Functional Analysis with Measure Theory , pp. 426 - 439
Publisher: Cambridge University Press
Print publication year: 2022

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