Reproducing pairs of measurable functions and partial inner product spaces

Antoine, Jean-Pierre;Trapani, Camillo
(2017) Advances in Operator Theory — Vol. 2, n° 2, p. 126-146 (2017)

Files

AT_Reproducing_pairs_PIP-final.pdf
  • Open Access
  • Adobe PDF
  • 349.39 KB

Details

Authors
  • Antoine, Jean-Pierreorcid-logoUCLouvain
    Author
  • Trapani, CamilloUniversità di Palermo, Italie
    Author
Abstract
We continue the analysis of reproducing pairs of weakly measurable functions, which generalize continuous frames. More precisely, we examine the case where the defining measurable functions take their values in a partial inner product space (PIP spaces). Several examples, both discrete and continuous, are presented.
Affiliations

Citations

Antoine, J.-P., & Trapani, C. (2017). Reproducing pairs of measurable functions and partial inner product spaces. Advances in Operator Theory, 2(2), 126-146. https://doi.org/10.22034/aot.1611-1053 (Original work published 2017)