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A C~*-ALGEBRA APPROACHTO THE IRREDUCIBILITY OFCOWEN-DOUGLAS OPERATORS

A C~*-ALGEBRA APPROACH TO THE IRREDUCIBILITY OF COWEN-DOUGLAS OPERATORS
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摘要 The authors consider the irreducibility of the Cowen-Douglas operator T. It is proved that T is irreducible iff the unital C*-algebra generated by some non-zero blocks in the decomposition of T with respect to (Ker Tn+1 Ker Tn) is M.(C). The authors consider the irreducibility of the Cowen-Douglas operator T. It is proved that T is irreducible iff the unital C*-algebra generated by some non-zero blocks in the decomposition of T with respect to (Ker Tn+1 Ker Tn) is M.(C).
出处 《Chinese Annals of Mathematics,Series B》 SCIE CSCD 1999年第3期305-308,共4页 数学年刊(B辑英文版)
关键词 AC代数学 COWEN-DOUGLAS算子 不可约性 分解式 C*-algebras, Cowen-Douglas operators, Irreducible operators, Pojections
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