Atomic Subspaces for Operators

Atomic Subspaces for Operators

This paper introduces the concept of atomic subspaces with respect to a bounded linear operator. Atomic subspaces generalize fusion frames and this generalization leads to the notion of K -fusion frames. Characterizations of K -fusion frames are discussed. Various properties of K -fusion frames, for...

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Veröffentlicht in:Indian journal of pure and applied mathematics 2020-09, Vol.51 (3), p.1039-1052
Hauptverfasser: Bhandari, Animesh, Mukherjee, Saikat
Format: Artikel
Sprache:eng
Schlagworte:
Applications of Mathematics
Frames
Linear operators
Mathematics
Mathematics and Statistics
Numerical Analysis
Subspaces
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Zusammenfassung:This paper introduces the concept of atomic subspaces with respect to a bounded linear operator. Atomic subspaces generalize fusion frames and this generalization leads to the notion of K -fusion frames. Characterizations of K -fusion frames are discussed. Various properties of K -fusion frames, for example, direct sum, intersection, are studied.
ISSN:0019-5588
0975-7465
DOI:10.1007/s13226-020-0448-y