Riesz-Fischer maps, semi-frames and frames in rigged Hilbert spaces

Research output: Chapter in Book/Report/Conference proceedingChapter


In this note we present a review, some considerations and new results about maps with values in a distribution space and domainin a σ-finite measure space X. Namely, this is a survey about Bessel maps, frames and bases (in particular Riesz and Gel’fand bases) in a distribution space. In this setting, the Riesz-Fischer maps and semi-frames are defined and new results about them are obtained. Some examples in tempered distributions space are examined.
Original languageEnglish
Title of host publicationOperator Theory, Functional Analysis and Applications
Number of pages18
Publication statusPublished - 2020

Publication series

NameOperator Theory: Advances and Applications.

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