Some Properties of Canonical Dual K‐Bessel Sequences for Parseval K‐Frames

ZQ Xiang - Journal of Function Spaces, 2019 - Wiley Online Library
The concept of canonical dual K‐Bessel sequences was recently introduced, a deep study
of which is helpful in further developing and enriching the duality theory of K‐frames. In this …

A Note on Certain Classes of Retro Banach Frames

MP Goswami - Sahand Communications in Mathematical …, 2023 - scma.maragheh.ac.ir
A new class of retro Banach frames called retro bi-Banach frame has been introduced and
studied with illustrative examples. Relationships of a retro bi-Banach frame with various …

Approximative K-atomic decompositions and frames in Banach spaces

S Jahan - Arab Journal of Mathematical Sciences, 2020 - emerald.com
L. Gǎvruţa (2012) introduced a special kind of frames, named K-frames, where K is an
operator, in Hilbert spaces, which is significant in frame theory and has many applications. In …

New Inequalities of Weaving K-Frames in Subspaces

ZQ Xiang - Mathematics, 2019 - mdpi.com
In the present paper, we obtain some new inequalities for weaving K-frames in subspaces
based on the operator methods. The inequalities are associated with a sequence of …