On Weighted Shifts, Curvature and Similarity
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Publication:3748802
DOI10.1112/jlms/s2-31.2.357zbMath0608.47029OpenAlexW2033433424MaRDI QIDQ3748802
Gadadhar Misra, Douglas N. Clark
Publication date: 1985
Published in: Journal of the London Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1112/jlms/s2-31.2.357
similarityeigenspacescurvaturescompact perturbationbackward weighted shiftsglobal holomorphic sectionsk-spectral set
Spectrum, resolvent (47A10) Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37) Structure theory of linear operators (47A65) Spectral sets of linear operators (47A25)
Related Items (14)
On the trace of curvature of irreducible Cowen-Douglas operators ⋮ Similarity invariants of essentially normal Cowen-Douglas operators and Chern polynomials ⋮ Holomorphic spectral theory: a geometric approach ⋮ Classification of quasi-homogeneous holomorphic curves and operators in the Cowen-Douglas class ⋮ Cowen-Douglas operators and shift operators ⋮ Geometric similarity invariants of Cowen-Douglas operators ⋮ The commutant and strong irreducibility of the coordinate function operators ⋮ The orbit of a bounded operator under the Möbius group modulo similarity equivalence ⋮ Flag structure for operators in the Cowen-Douglas class ⋮ A note on curvature and similarity of some Cowen-Douglas operators ⋮ On a generalization of \(B_1(\Omega)\) on \(C^\ast\)-algebras ⋮ A note on a subclass of Cowen-Douglas operators ⋮ Curvature formulas of holomorphic curves on \(C^*\)-algebras and Cowen-Douglas operators ⋮ The metrics of Hermitian holomorphic vector bundles and the similarity of Cowen-Douglas operators
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