An analytic model for left-invertible weighted shifts on directed trees: Table 1.

DOI10.1112/JLMS/JDW029zbMath1358.47020arXiv1510.03075OpenAlexW2950558793MaRDI QIDQ2822147

Sameer Chavan, Shailesh Trivedi

Publication date: 27 September 2016

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1510.03075

zbMATH Keywords

multiplication operatorreproducing kernelreproducing kernel Hilbert spacedirected tree with finite branching indexleft-invertible weighted shifts

Mathematics Subject Classification ID

Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Spectrum, resolvent (47A10) Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22)

Related Items (15)

Quasinormal extensions of subnormal operator-weighted composition operators in \(\ell^{2}\)-spaces ⋮ Dirichlet spaces associated with locally finite rooted directed trees ⋮ Aluthge transforms of unbounded weighted composition operators in L²‐spaces ⋮ Generalized multipliers for left-invertible analytic operators and their applications to commutant and reflexivity ⋮ On analytic structure of weighted shifts on generalized directed semi-trees ⋮ On the Cauchy dual operator and duality for Banach spaces of analytic functions ⋮ Weakly concave operators ⋮ Quasidiagonal weighted shifts on directed trees ⋮ Generalized multipliers for left-invertible operators and applications ⋮ Commutants and reflexivity of multiplication tuples on vector-valued reproducing kernel Hilbert spaces ⋮ Reduced commutativity of moduli of operators ⋮ Analytic 𝑚-isometries without the wandering subspace property ⋮ Unitary equivalence of operator-valued multishifts ⋮ A Shimorin-type analytic model on an annulus for left-invertible operators and applications ⋮ A solution to the Cauchy dual subnormality problem for 2-isometries

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