Atomic subspaces for operators

Animesh Bhandari; Saikat Mukherjee

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arXiv · 1705.06042

Atomic subspaces for operators

Animesh Bhandari·Saikat Mukherjee

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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 sums, intersection, are studied.

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BibTeX RIS

Animesh Bhandari, Saikat Mukherjee. 2017-05-17. Atomic subspaces for operators. https://arxiv.org/abs/1705.06042

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