Some classes of operators with symbol on the Lipschitz space of a tree

DOI10.1007/s00009-016-0805-6zbMath1476.47009OpenAlexW2562459894MaRDI QIDQ523640

Flavia Colonna, Rubén A. Martínez-Avendaño

Publication date: 21 April 2017

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00009-016-0805-6

zbMATH Keywords

Lipschitz spaceToeplitz operatormultiplication operatortreeshypercyclicity

Mathematics Subject Classification ID

Trees (05C05) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37) Cyclic vectors, hypercyclic and chaotic operators (47A16) Infinite graphs (05C63)

Related Items (8)

Hypercyclicity of shifts on weighted \(L^{p}\) spaces of directed trees ⋮ The forward and backward shift on the Lipschitz space of a tree ⋮ Toeplitz operator and the operator \(\nabla\) on the \(\mathcal{L}^p\) space of a tree ⋮ Dynamics of weighted shifts on directed trees ⋮ Composition operators on Hardy spaces of the homogenous rooted trees ⋮ Toeplitz operators on \(\mathcal{L}^p\)-spaces of a tree ⋮ Norms, kernels and eigenvalues of some infinite graphs ⋮ Norm of the backward shift on the Lipschitz space of a tree

Cites Work

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• Sequences of derivatives and normal families
• Weighted shifts on directed trees
• Hypercyclic Weighted Shifts
• Embeddings of trees in the hyperbolic disk
• Multiplication operators on the weighted Lipschitz space of a tree
• MULTIPLICATION OPERATORS ON WEIGHTED BANACH SPACES OF A TREE
• On orbits of elements

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