Cesàro sums and algebra homomorphisms of bounded operators

DOI10.1007/s11856-016-1417-3zbMath1405.47003arXiv1504.01357OpenAlexW1470450483MaRDI QIDQ503248

M. Pilar Velasco, Luciano Abadias, Carlos Lizama, Pedro José Miana

Publication date: 11 January 2017

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

Full work available at URL: https://arxiv.org/abs/1504.01357

zbMATH Keywords

\((C, \alpha)\)-bounded operatorconvolution Banach algebrasWeyl fractional difference calculus

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Ergodic theory of linear operators (47A35) General theory of topological algebras (46H05) Integrated semigroups (47D62) Operator means involving linear operators, shorted linear operators, etc. (47A64)

Related Items (16)

Growth orders and ergodicity for absolutely Cesàro bounded operators ⋮ C-Semigroups, subordination principle and the Lévy α-stable distribution on discrete time ⋮ A transference principle for nonlocal operators using a convolutional approach: fractional monotonicity and convexity ⋮ Positivity, monotonicity, and convexity for convolution operators ⋮ Generalized Cesàro operators, fractional finite differences and gamma functions ⋮ Poisson equation and discrete one-sided Hilbert transform for \((C, \alpha)\)-bounded operators ⋮ Lebesgue regularity for nonlocal time-discrete equations with delays ⋮ On well-posedness of vector-valued fractional differential-difference equations ⋮ Non-local fractional derivatives. Discrete and continuous ⋮ A practical formula of solutions for a family of linear non-autonomous fractional nabla difference equations ⋮ Operator inequalities, functional models and ergodicity ⋮ Discrete maximal regularity for Volterra equations and nonlocal time-stepping schemes ⋮ The Cauchy problem for discrete time fractional evolution equations ⋮ Existence of \((N, \lambda)\)-periodic solutions for abstract fractional difference equations ⋮ Caputo and related fractional derivatives in singular systems ⋮ Existence and monotonicity of nonlocal boundary value problems: the one-dimensional case

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the definitions of nabla fractional operators
• Modeling with fractional difference equations
• Algebra homomorphisms defined via convoluted semigroups and cosine functions
• Mean-bounded operators and mean ergodic theorems
• On power bounded operators
• Correction to my paper ``uniform and strong ergodic theorems in Banach spaces
• On the Cesaro sums of Fourier's and Laplace's series
• On a first-order semipositone discrete fractional boundary value problem
• Dual identities in fractional difference calculus within Riemann
• One-parameter groups of regular quasimultipliers
• On invariant measures and ergodic theorems for positive operators
• Integrated semigroups and differential operators on \(L^ p\) spaces
• Standard ideals in weighted algebras of Korenblyum and Wiener types
• Vector-valued Laplace Transforms and Cauchy Problems
• Some Elementary Inequalities Relating to the Gamma and Incomplete Gamma Function
• Boundedness and growth orders of means of discrete and continuous semigroups of operators
• Initial value problems in discrete fractional calculus
• Laplace Transforms and α-Times Integrated Semigroups
• Weak type estimates for Cesàro sums of Jacobi polynomial series
• On the mean ergodic theorem for Cesàro bounded operators
• A GENERALIZATION OF THE WIDDER–ARENDT THEOREM
• On the (C,α) Cesàro bounded operators
• A new way of constructing examples in operator ergodic theory
• Katznelson-Tzafriri type theorem for integrated semigroups
• Some Theorems on Riesz and Cesaro Sums

This page was built for publication: Cesàro sums and algebra homomorphisms of bounded operators