English

On $\mathfrak{I}$-reconstruction Property

Functional Analysis 2013-05-03 v1

Abstract

Reconstruction property in Banach spaces introduced and studied by Casazza and Christensen in [1]. In this paper we introduce reconstruction property in Banach spaces which satisfy I\mathfrak{I}-property. A characterization of reconstruction property in Banach spaces which satisfy I\mathfrak{I}-property in terms of frames in Banach spaces is obtained. Banach frames associated with reconstruction property are discussed.

Keywords

Cite

@article{arxiv.1305.0334,
  title  = {On $\mathfrak{I}$-reconstruction Property},
  author = {L. K. Vashisht and Geetika Khattar},
  journal= {arXiv preprint arXiv:1305.0334},
  year   = {2013}
}
R2 v1 2026-06-22T00:09:56.583Z