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author:

Lin, L.Q. (Lin, L.Q..) [1] (Scholars:林丽琼) | Que, J.H. (Que, J.H..) [2] | Zhang, Y.N. (Zhang, Y.N..) [3]

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Abstract:

This paper firstly gives the definition of closed strongly irreducible operators on Banach spaces and gives an example of unbounded strongly irreducible operator. It obtains some properties of closed strongly irreducible operators. In particular, it obtains some equivalent descriptions of closed strongly irreducible operators. It also demonstrates some sufficient conditions for the strongly irreducibility of closed operators which have the forms of upper triangular operator matrices. © 2023 Chinese Academy of Sciences. All rights reserved.

Keyword:

Banach spaces closed operators strongly irreducible operators

Community:

  • [ 1 ] [Lin L.Q.]School of Mathematics and Statistics, Fuzhou University, Fuzhou, 350108, China
  • [ 2 ] [Que J.H.]School of Mathematics and Statistics, Fujian Normal University, Fuzhou, 350108, China
  • [ 3 ] [Zhang Y.N.]School of Mathematics and Statistics, Fujian Normal University, Fuzhou, 350108, China

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Source :

数学学报

ISSN: 0583-1431

CN: 11-2038/O1

Year: 2023

Issue: 2

Volume: 66

Page: 209-222

Cited Count:

WoS CC Cited Count: 0

SCOPUS Cited Count:

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 0

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