Atomic Subspaces for Operators

Animesh Bhandari () and Saikat Mukherjee ()
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Animesh Bhandari: NIT Meghalaya
Saikat Mukherjee: NIT Meghalaya

Indian Journal of Pure and Applied Mathematics, 2020, vol. 51, issue 3, 1039-1052

Abstract: Abstract 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.

Keywords: Atomic subspaces; frames; K-fusion frames; 42C15; 46C15 (search for similar items in EconPapers)
Date: 2020
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DOI: 10.1007/s13226-020-0448-y

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