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Continuity of
homomorphisms of Banach G-modules
Barry E. Johnson |
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Vol. 120 (1985), No. 1, 111–121
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Abstract |
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We consider whether, given a locally compact abelian group G and two Banach G-modules X and Y , every G-module homomorphism from X into Y is continuous. Discontinuous homomorphisms can exist only when Y has submodules on which G acts by scalar multiplication. They are also associated with discontinuous convariant forms on X so if either of these are absent them all G-module homomorphisms are continuous. |
Mathematical Subject Classification 2000
Primary: 46H25
Secondary: 22B10, 22D12, 43A22
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Milestones
Received: 28 June 1983
Published: 1 November 1985
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Authors |
| Barry E. Johnson | |
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