A-2-Frames in A-2-inner product spaces

TL;DR

This paper introduces A-2-frames in A-2-inner product spaces within Hilbert C*-modules, providing characterizations and exploring tensor products to extend frame theory in this context.

Contribution

The paper defines A-2-frames in A-2-inner product spaces and investigates their properties and tensor products, extending frame theory in Hilbert C*-modules.

Findings

Characterization of A-2-frames in A-2-inner product spaces

Definition and properties of tensor products of A-2-frames

Extension of frame results to Hilbert C*-modules

Abstract

Certain results about frames are extended for the new frames in Hilbert C*-modules. In this paper, we introduce the notion of A-2-frames in A-2-inner product spaces and give some characterizations for these frames. Then we define the tensor product of A-2-frames and prove some results for it.