Frontiers of Mathematics in China >

2011 , Vol. 6 >Issue 5: 987 - 1001

DOI: https://doi.org/10.1007/s11464-011-0141-x

RESEARCH ARTICLE

Strongly irreducible operators and Cowen-Douglas operators on c0, lp (1≤p<∞)

  • Yunnan ZHANG ,
  • Huaijie ZHONG
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  • School of Mathematics and Computer Science, Fujian Normal University, Fuzhou 350007, China

Received date: 17 Mar 2010

Accepted date: 27 Apr 2011

Published date: 01 Oct 2011

Copyright

2014 Higher Education Press and Springer-Verlag Berlin Heidelberg
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Abstract

This paper gives some sufficient conditions for the strongly irreducibility of operators which have the forms of upper triangular operator matrices on Banach spaces. Based on these results, strongly irreducible Cowen-Douglas operators of index n are constructed on c0, lp (1≤p<∞) for all 1≤n≤∞.

Key words： Banach space; strongly irreducible operator; Cowen-Douglas operator; upper triangular operator matrice

Cite this article

Yunnan ZHANG , Huaijie ZHONG . Strongly irreducible operators and Cowen-Douglas operators on c0, lp (1≤p<∞)[J]. Frontiers of Mathematics in China, 2011 , 6(5) : 987 -1001 . DOI: 10.1007/s11464-011-0141-x

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