$K-$frames for Super Hilbert Spaces
Najib Khachiaa

TL;DR
This paper explores the relationships between K-frames in separate Hilbert spaces and their direct sums, including minimal frames and orthonormal bases, advancing the understanding of frame theory in super Hilbert spaces.
Contribution
It introduces new insights into how K-frames and L-frames relate within direct sum Hilbert spaces, including minimal frames and orthonormal bases.
Findings
Characterization of K-frames for direct sums of Hilbert spaces
Analysis of K⊕L-minimal frames in super Hilbert spaces
Study of K⊕L-orthonormal bases in the context of super Hilbert spaces
Abstract
Let and be two Hilbert spaces, and be bounded operatrors on and respectively. In this paper we study the relationship between -frames for and -frames for and -frames for . The -minimal frames and -orthonormal bases for are also studied.
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Taxonomy
TopicsMathematical Analysis and Transform Methods
