Abstract
AbstractThe focus of this paper is mainly on the frames of operators orK-frames on Hilbert spaces in Parseval cases. Since equal-norm tight frames play an important role for transmitting robust data, we aim to study this topic on ParsevalK-frames. We find that each finite set of equal-norm of vectors can be extended to an equal-normK-frame. We also find a correspondence between ParsevalK-frames and the set of all closed subspaces of a finite Hilbert space. Furthermore, we provide a construction of dual equal-normK-frames.
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Discrete Mathematics and Combinatorics,Analysis
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