Infinitely divisible metrics and curvature inequalities for operators in the Cowen-Douglas class
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چکیده
منابع مشابه
Infinitely divisible metrics and curvature inequalities for operators in the Cowen-Douglas class
The curvature KT (w) of a contraction T in the Cowen-Douglas class B1(D) is bounded above by the curvature KS∗(w) of the backward shift operator. However, in general, an operator satisfying the curvature inequality need not be contractive. In this note, we characterize a slightly smaller class of contractions using a stronger form of the curvature inequality. Along the way, we find conditions o...
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Abstract. In a recent paper, the authors have constructed a large class of operators in the Cowen-Douglas class Cowen-Douglas class of the unit disc D which are homogeneous with respect to the action of the group Möb – the Möbius group consisting of bi-holomorphic automorphisms of the unit disc D. The associated representation for each of these operators is multiplicity free. Here we give a dif...
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ژورنال
عنوان ژورنال: Journal of the London Mathematical Society
سال: 2013
ISSN: 0024-6107
DOI: 10.1112/jlms/jdt045