Abstract
The formal similarity between certain theorems in operator theory and measure theory, e.g. between the Banach-Steinhaus and Vitali-Hahn-Saks theorems, is well-known. This paper outlines a demonstration that such formally similar results in the two subjects are in fact corollaries, if not special cases, of the same general theorems.
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© 1988 Birkhäuser Verlag Basel
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Masani, P.R. (1988). On Conditional Homomorphisms and Semi-Norms on Banach Groups and the Unification of Operator Theory and Measure Theory. In: Arsene, G. (eds) Special Classes of Linear Operators and Other Topics. Operator Theory: Advances and Applications, vol 28. Birkhäuser Basel. https://doi.org/10.1007/978-3-0348-9164-6_13
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DOI: https://doi.org/10.1007/978-3-0348-9164-6_13
Publisher Name: Birkhäuser Basel
Print ISBN: 978-3-7643-1970-0
Online ISBN: 978-3-0348-9164-6
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