Weighted shift operator on a topological Markov chain

DOI10.1007/BF01077431zbMath0713.28014MaRDI QIDQ749696

A. M. Stēn, Yu. D. Latushkin

Publication date: 1988

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

zbMATH Keywords

subshift of finite typetopological pressuremultiplicative ergodic theoremspectral theory of weighted shift operator

Mathematics Subject Classification ID

Entropy and other invariants (28D20) Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37) Dynamical systems with hyperbolic behavior (37D99) Matrix and operator functional equations (39B42)

Related Items (4)

Spectrum of weighted isometries: \(C^*\)-algebras, transfer operators and topological pressure ⋮ Group actions: Entropy, mixing, spectra, and generic properties ⋮ Legendre-Fenchel transform of the spectral exponent of polynomials of weighted composition operators ⋮ Variational principles for spectral radius of weighted endomorphisms of 𝐶(𝑋,𝐷)

Cites Work

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• Analyticity of spectral subbundles
• Finitary measures for subshifts of finite type and sofic systems
• A Variational Principle for the Pressure of Continuous Transformations

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