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- Centre National de la Recherche ScientifiqueFR398 papers
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7 papers · 2 filters
Trace formulas for -perturbations and extension of Koplienko-Neidhardt trace formulas
Arup Chattopadhyay, Clément Coine, Saikat Giri +1
In this paper, we extend the class of admissible functions for the trace formula of the second order in the self-adjoint, unitary, and contraction cases for a perturbation in the H…
Hereditarily frequently hypercyclic operators and disjoint frequent hypercyclicity
F. Bayart, S. Grivaux, E. Matheron +1
We introduce and study the notion of hereditary frequent hypercyclicity, which is a reinforcement of the well known concept of frequent hypercyclicity. This notion is useful for th…
Königs maps and commutants of composition operators on the Hardy-Hilbert space of Dirichlet series
Frédéric Bayart, Xingxing Yao
Let be a holomorphic map which is a symbol of a bounded composition operator acting on the Hardy-Hilbert space of Dirichlet series. We find a Königs map for . We then…
Infinite dimensional dynamical maps
Bihalan Bhattacharya, Uwe Franz, Saikat Patra +1
Completely positive trace preserving maps are widely used in quantum information theory. These are mostly studied using the master equation perspective. A central part in this theo…
Functions of unitaries with -perturbations for non continuously differentiable functions
Clément Coine
Consider a function , -times differentiable on and such that its th derivative is bounded but not necessarily continuous…
Eventual Ideal Properties of the Riemann-Liouville Analytic Semigroup
Ihab Alam, Isabelle Chalendar, Fida El Chami +2
In this paper, we revisit the Riemann--Liouville analytic semigroup. In particular, we completely characterize the membership to the Schatten class on , as well as…