On Some Basic Theorems of Continuous Module Homomorphisms between Random Normed Modules
We first prove the resonance theorem, closed graph theorem, inverse operator theorem, and open mapping theorem for module homomorphisms between random normed modules by simultaneously considering the two kinds of topologies—the -topology and the locally -convex topology for random normed modules. Th...
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Main Author: | |
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Format: | Article |
Language: | English |
Published: |
Wiley
2013-01-01
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Series: | Journal of Function Spaces and Applications |
Online Access: | http://dx.doi.org/10.1155/2013/989102 |
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