SEMI-CONTINUOUS G-FRAMES IN HILBERT SPACES

Poria, A (2020) SEMI-CONTINUOUS G-FRAMES IN HILBERT SPACES. In: Methods of Functional Analysis and Topology, 26 (3). pp. 249-261.

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Abstract

In this paper, we introduce the concept of semi-continuous g-frames in Hilbert spaces. We first construct an example of semi-continuous g-frames using the Fourier transform of the Heisenberg group and study the structure of such frames. Then, as an application we provide some fundamental identities and inequalities for semi-continuous g-frames. Finally, we present a classical perturbation result and prove that semi-continuous g-frames are stable under small perturbations. © 2020. All Rights Reserved.

Item Type:	Journal Article
Publication:	Methods of Functional Analysis and Topology
Publisher:	Institute of Mathematics
Additional Information:	The copyright for this article belongs to Institute of Mathematics.
Keywords:	continuous g-frames; frame identity; g-frames; perturbation; semi-continuous g-frames; stability
Department/Centre:	Division of Physical & Mathematical Sciences > Mathematics
Date Deposited:	07 Feb 2023 09:25
Last Modified:	07 Feb 2023 09:25
URI:	https://eprints.iisc.ac.in/id/eprint/79996

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