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.
|Title of host publication||Operator Theory, Functional Analysis and Applications|
|Number of pages||18|
|Publication status||Published - 2020|
|Name||Operator Theory: Advances and Applications.|