Affiliation of Author(s):理学院
Journal:ACTA MATHEMATICA SINICA-ENGLISH SERIES
Key Words:K-fusion frame K-fusion frame generator wandering subspace unitary system
Abstract:Motivated by K-frames and fusion frames, we study K-fusion frames in Hilbert spaces. By the means of operator K, frame operators and quotient operators, several necessary and sufficient conditions for a sequence of closed subspaces and weights to be a K-fusion frame are obtained, and operators preserving K-fusion frames are discussed. In particular, we are interested in the K-fusion frames with the structure of unitary systems. Given a unitary system which has a complete wandering subspace, we give a necessary and sufficient condition for a closed subspace to be a K-fusion frame generator.
ISSN No.:1439-8516
Translation or Not:no
Date of Publication:2018-05-01
Co-author:刘爱芳
Correspondence Author:lpt
Date of Publication:2018-05-01