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In this paper we find that a result of an equivalent characterization of tight K-g-frames obtained by Huang and Shi is incorrect, and we give a sufficient condition for a given Bessel sequence to be a tight K-frame. We also characterize the weaving of K-frames in Hilbert spaces. We give several kinds of sufficient conditions such that the type {T(1)f(i)}i is an element of I and {T-2gi}(i is an element of I) are K-woven (resp. woven) on H or its subspace R(K), given that {f(i)}(i is an element of I) and {g(i)}(i is an element of I) are K-frames (resp. frames) on H and T-1,T-2 are surjective operators on H. Finally we discuss that we can plus two different Bessel sequences to a K-woven pair such that the new obtained pair are K-woven on H.
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JOURNAL OF PSEUDO-DIFFERENTIAL OPERATORS AND APPLICATIONS
ISSN: 1662-9981
Year: 2021
Issue: 1
Volume: 12
1 . 2 6
JCR@2021
0 . 9 0 0
JCR@2023
ESI Discipline: MATHEMATICS;
ESI HC Threshold:36
JCR Journal Grade:2
CAS Journal Grade:4
Cited Count:
WoS CC Cited Count: 3
SCOPUS Cited Count: 4
ESI Highly Cited Papers on the List: 0 Unfold All
WanFang Cited Count:
Chinese Cited Count:
30 Days PV: 2
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