Frontiers of Mathematics in China >
Strongly irreducible operators and Cowen-Douglas operators on c0, lp (1≤p<∞)
Received date: 17 Mar 2010
Accepted date: 27 Apr 2011
Published date: 01 Oct 2011
Copyright
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≤∞.
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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