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所属单位：理学院

发表刊物：ACTA MATHEMATICA SINICA-ENGLISH SERIES

关键字：K-fusion frame K-fusion frame generator wandering subspace unitary system

摘要：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号：1439-8516

是否译文：否

发表时间：2018-05-01

合写作者：刘爱芳

通讯作者：李鹏同