Computable g- Frames

TL;DR

This paper introduces the concept of computable g-frames in computable Hilbert spaces, extending the classical theory of g-frames with a focus on computability aspects and providing effective characterizations.

Contribution

It defines computable g-frames and develops computable versions of existing characterizations, bridging frame theory with computability in Hilbert spaces.

Findings

Established the definition of computable g-frames.

Derived computable characterizations of g-frames.

Extended classical results to the computable setting.

Abstract

The notion of g-frames for Hilbert spaces was introduced and studied by Wenchang Sun [16] as a generalization of the notion of frames. In this paper, we define computable g-frames in computable Hilbert spaces and obtain computable versions of some of their characterizations and related results.