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K-block frames in Hilbert spaces
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DOI：10.1142/S0219691325500420.png)
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Abstract
En 中文
This paper introduces and develops the theory of K-block frames in Hilbert spaces, presenting an extension of frame theory and operator theory. The concept of atomic systems for operators have been generalized to the framework of block-atomic systems, focusing on bounded linear operators in separable Hilbert spaces. The notion of K-block frames is defined and thoroughly analyzed, demonstrating connections to block-atomic decompositions. The paper presents necessary and sufficient conditions for a sequence to qualify a K-block frame or block-atomic systems. These ideas are illustrated with concrete examples and establish essential connections.
Keywords:
Frames
atomic systems
block-frames
Frames
atomic systems
K-frames
block-frames
K-block frames
Journal
I
IF:
0.8
Papers:
39
Citations:
717