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author:

Xiao, Xiangchun (Xiao, Xiangchun.) [1] | Yan, Kai (Yan, Kai.) [2] (Scholars:严锴) | Zhao, Guoping (Zhao, Guoping.) [3] | Zhu, Yucan (Zhu, Yucan.) [4] (Scholars:朱玉灿)

Indexed by:

SCIE

Abstract:

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.

Keyword:

Frame K-frame K-woven Tight Weaving

Community:

  • [ 1 ] [Xiao, Xiangchun]Xiamen Univ Technol, Dept Math, Xiamen 361024, Peoples R China
  • [ 2 ] [Zhao, Guoping]Xiamen Univ Technol, Dept Math, Xiamen 361024, Peoples R China
  • [ 3 ] [Yan, Kai]Fuzhou Univ, Dept Math & Comp Sci, Fuzhou 350116, Peoples R China
  • [ 4 ] [Zhu, Yucan]Fuzhou Univ, Dept Math & Comp Sci, Fuzhou 350116, Peoples R China

Reprint 's Address:

  • [Xiao, Xiangchun]Xiamen Univ Technol, Dept Math, Xiamen 361024, Peoples R China

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Source :

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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