This is an announcement for the paper "On $\mathfrak{I}$-reconstruction property" by L.K.Vashisht and Geetika Khattar.

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 $\mathfrak{I}$-property. A characterization of reconstruction property in Banach spaces which satisfy $\mathfrak{I}$-property in terms of frames in Banach spaces is obtained. Banach frames associated with reconstruction property are discussed.

Archive classification: math.FA

Mathematics Subject Classification: 42C15, 42C30, 46B15

Submitted from: lalitkvashisht@gmail.com

The paper may be downloaded from the archive by web browser from URL

http://front.math.ucdavis.edu/1305.0334

or

http://arXiv.org/abs/1305.0334