A characterization of separable conjugate spaces
Stefano Rossi
TL;DR
This paper establishes necessary and sufficient conditions for when a separable Banach space can be characterized as a dual space, providing insights into the structure of such spaces.
Contribution
It introduces new criteria to identify separable Banach spaces that are dual spaces, advancing the understanding of their structure.
Findings
Derived necessary and sufficient conditions for dual space characterization
Provided applications illustrating the theoretical results
Enhanced understanding of the structure of separable conjugate spaces
Abstract
Necessary and sufficient conditions for a separable Banach space to be a dual space are proved. Some applications are discussed
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Taxonomy
TopicsAdvanced Banach Space Theory · Advanced Harmonic Analysis Research · Holomorphic and Operator Theory