Atomic subspaces for operators
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.
- Publication:
-
arXiv e-prints
- Pub Date:
- May 2017
- DOI:
- 10.48550/arXiv.1705.06042
- arXiv:
- arXiv:1705.06042
- Bibcode:
- 2017arXiv170506042B
- Keywords:
-
- Mathematics - Functional Analysis;
- 42C15;
- 46C15
- E-Print:
- 11 pages, To appear in Indian Journal of Pure and Applied Mathematics (2020)