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【期刊论文】Similarity Classification of Cowen-Douglas Operators
蒋春澜, Chunlan Jiang
Canad. J. Math. Vol. 56 No.4 (2004) 742,-0001,():
-1年11月30日
Let H be a complex separable Hilbert space and L(H) denote the collection of bounded linear operators onH. An operator A in L(H) is said to be strongly irreducible, if A' (T), the commutant of A, has no non-trivial idempotent. An operator A in L(H) is said to be a Cowen-Douglas operator, if there exists Ω, a connected open subset of C, and n, a positive integer, such that
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【期刊论文】Quasisimilarity of Cowen-Douglas operators
蒋春澜, JIANG Chunlan, , & HE Hua
Ser. A Mathematics Vol. 47 No.2 (2004) 297-310,-0001,():
-1年11月30日
This paper shows that every operator which is quasisimilar to strongly irreducible Cowen-Douglas operators is still strongly irreducible. This result answers a question posted by Davidson and Herrero (ref. [1]).
quasisimilar, strongly irreducibl, Cowen-Douglas operators
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【期刊论文】K-GROUPS OF BANACH ALGEBRAS AND STRONGLY IRREDUCIBLE DECOMPOSITIONS OF OPERATORS
蒋春澜, YANG CAO, JUNSHENG FANG and CHUNLAN JIANG
J. OPERATOR THEORY 48(2002)235-253,-0001,():
-1年11月30日
A bounded linear operator T on the Hilbert space H is called strongly irreducible if T does not commute with any nontrivial idempotentoperator. One says that T has a finite (SI) decomposition if T can be writtenas the direct sum of finitely many strongly irreducible operators. In this paper, we use the Ko-group of the commutant of operators to characterize operators with unique finite (SI) decomposition up to similarity. Also weshow that the Ko-group of H∞(Ω) is isomorphic to the integers, where is simply connected.
Ko-group, (, SI), decomposition, commutant of operators
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【期刊论文】BIQUASITRIANGULAR OPERATORS HAVE STRONGLY IRREDUCIBLE PERTURBATIONS
蒋春澜, by CHUN LAN JIANG, STEPHEN C. POWER, and ZONG YAO WANG
Quart. J. Math. 51(2000)353-369,-0001,():
-1年11月30日
We prove that if T is a biquasitriangular operator on a Hilbert space H with connected spectrum then T may be approximated by a strongly irreducible operator S with S−T compact and small.
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