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

Research output: Chapter in Book/Report/Conference proceedingChapter

Abstract

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
Pages1-18
Number of pages18
Publication statusPublished - 2020

Publication series

NameOperator Theory: Advances and Applications.

Fingerprint Dive into the research topics of 'Riesz-Fischer maps, semi-frames and frames in rigged Hilbert spaces'. Together they form a unique fingerprint.

Cite this