Variational principles for spectral radius of weighted endomorphisms of 𝐶(𝑋,𝐷)

DOI10.1090/tran/7993zbMath1442.47029arXiv1812.04267OpenAlexW2977618562MaRDI QIDQ5218247

A. V. Lebedev, Bartosz Kosma Kwaśniewski

Publication date: 2 March 2020

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

Full work available at URL: https://arxiv.org/abs/1812.04267

zbMATH Keywords

Banach algebraspectral radiusVariational principlecocycleendomorphismLyapunov exponentweighted shift

Mathematics Subject Classification ID

Ergodic theory of linear operators (47A35) Spectrum, resolvent (47A10) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Linear operators on Banach algebras (47B48) Random dynamical systems aspects of multiplicative ergodic theory, Lyapunov exponents (37H15) Ergodic theory (37A99)

Related Items (2)

Spectrum of weighted isometries: \(C^*\)-algebras, transfer operators and topological pressure ⋮ On relationships between the spectral potential of transfer operators, \(t\)-entropy, entropy and topological pressure

Cites Work

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• On transfer operators for \(C^*\)-dynamical systems
• A concise proof of the multiplicative ergodic theorem on Banach spaces
• Spectrum of automorphisms with weight and the Kamowitz-Scheinberg theorem
• Compact operators of the form \(uC_\varphi\)
• Weighted shift operator on a topological Markov chain
• The thermodynamic formalism for expanding maps
• Fibres dynamiques asymptotiquement compacts, exposants de Lyapunov. Entropie. Dimension. (Asymptotically compact dynamical bundles, Lyapunov exponents. Entropy. Dimension)
• Characteristic exponents and invariant manifolds in Hilbert space
• Chaos, fractals, and noise: Stochastic aspects of dynamics.
• Linear functional equations. Operator approach. Transl. from the Russian by V. Muzafarov a. A. Iacob
• Crossed products by endomorphisms and reduction of relations in relative Cuntz-Pimsner algebras
• A contribution to the theory of divergent sequences
• A road to the spectral radius of transfer operators
• Ont-entropy and variational principle for the spectral radii of transfer and weighted shift operators
• Reversible extensions of irreversible dynamical systems: theC*-method
• Weighted translation operators and linear extensions of dynamical systems
• Extensions of $ C^*$-algebras by partial isometries
• WEIGHTED SHIFT OPERATORS, SPECTRAL THEORY OF LINEAR EXTENSIONS, AND THE MULTIPLICATIVE ERGODIC THEOREM
• Compact Weighted Endomorphisms of C(X)
• Endomorphisms of B(H)
• C*-algebras associated with reversible extensions of logistic maps
• Introduction to Dynamical Systems
• Equilibrium states and the ergodic theory of Anosov diffeomorphisms
• Lectures on Choquet's theorem
• Crossed products by endomorphisms of \(C_{0}(X)\)-algebras

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