Search Results - "Tomilov, Yuri"

A Besov algebra calculus for generators of operator semigroups and related norm-estimates by Batty, Charles, Gomilko, Alexander, Tomilov, Yuri

“…We construct a new bounded functional calculus for the generators of bounded semigroups on Hilbert spaces and generators of bounded holomorphic semigroups on…”
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On growth and instability for semilinear evolution equations: an abstract approach by Müller, Vladimir, Schnaubelt, Roland, Tomilov, Yuri

“…We propose a new approach to the study of (nonlinear) growth and instability for semilinear abstract evolution equations with compact nonlinearities. We show,…”
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The index formula and the spectral shift function for relatively trace class perturbations by Gesztesy, Fritz, Latushkin, Yuri, Makarov, Konstantin A., Sukochev, Fedor, Tomilov, Yuri

“…We compute the Fredholm index, index ( D A ) , of the operator D A = ( d / d t ) + A on L 2 ( R ; H ) associated with the operator path { A ( t ) } t = − ∞ ∞ ,…”
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Optimal polynomial decay of functions and operator semigroups by Borichev, Alexander, Tomilov, Yuri

“…We characterize the polynomial decay of orbits of Hilbert space C 0 -semigroups in resolvent terms. We also show that results of the same type for general…”
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Rational approximation of operator semigroups via the B-calculus by Gomilko, Alexander, Tomilov, Yuri

“…We improve the classical results by Brenner and Thomée on rational approximations of operator semigroups. In the setting of Hilbert spaces, we introduce a…”
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The theory of Besov functional calculus: Developments and applications to semigroups by Batty, Charles, Gomilko, Alexander, Tomilov, Yuri

“…We extend and deepen the theory of functional calculus for semigroup generators, based on the algebra B of analytic Besov functions, which we initiated in a…”
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On Discrete Subordination of Power Bounded and Ritt Operators by Gomilko, Alexander, Tomilov, Yuri

“…By means of a new technique, we develop further a discrete subordination approach to the functional calculus of power-bounded and Ritt operators initiated by…”
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On convergence rates in approximation theory for operator semigroups by Gomilko, Alexander, Tomilov, Yuri

“…We create a new, functional calculus, approach to approximation formulas for C0-semigroups on Banach spaces restricted to the domains of fractional powers of…”
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On subordination of holomorphic semigroups by Gomilko, Alexander, Tomilov, Yuri

“…We prove that for any Bernstein function ψ the operator −ψ(A) generates a bounded holomorphic C0-semigroup (e−tψ(A))t≥0 on a Banach space, whenever −A does…”
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L-tauberian theorems and L-rates for energy decay by Batty, Charles J.K., Borichev, Alexander, Tomilov, Yuri

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Resolvent representations for functions of sectorial operators by Batty, Charles, Gomilko, Alexander, Tomilov, Yuri

“…We obtain integral representations for the resolvent of ψ(A), where ψ is a holomorphic function mapping the right half-plane and the right half-axis into…”
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Joint numerical ranges and compressions of powers of operators by Müller, Vladimir, Tomilov, Yuri

“…We identify subsets of the joint numerical range of an operator tuple in terms of its joint spectrum. This result helps us to transfer weak convergence of…”
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Circles in the spectrum and the geometry of orbits: A numerical ranges approach by Müller, Vladimir, Tomilov, Yuri

“…We prove that a bounded linear Hilbert space operator has the unit circle in its essential approximate point spectrum if and only if it admits an orbit…”
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Analytic continuation and stability of operator semigroups by Chill, Ralph, Tomilov, Yuri

“…We prove a new criterion for the analytic continuation of functions across a linear boundary. As corollaries, we obtain new conditions for convergence of…”
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Analytic Besov functional calculus for several commuting operators by Batty, Charles, Gomilko, Alexander, Kobos, Dominik, Tomilov, Yuri

“…This paper investigates analytic Besov functions of n variables which act on the generators of n commuting C_{0} -semigroups on a Banach space. The theory for…”
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Product formulas in functional calculi for sectorial operators by Batty, Charles, Gomilko, Alexander, Tomilov, Yuri

“…We study the product formula ( f g ) ( A ) = f ( A ) g ( A ) in the framework of (unbounded) functional calculus of sectorial operators A . We give an abstract…”
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L^p-tauberian theorems and L^p-rates for energy decay by Batty, Charles, Borichev, Alexander, Tomilov, Yuri

“…We prove $L^p$-analogues of the classical tauberian theorem of Ingham and Karamata, and its variations giving rates of decay. These results are applied to…”
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Lp-tauberian theorems and Lp-rates for energy decay by Batty, Charles J.K., Borichev, Alexander, Tomilov, Yuri

“…We prove Lp-analogues of the classical tauberian theorem of Ingham and Karamata, and its variations giving rates of decay. These results are applied to derive…”
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On the Witten index in terms of spectral shift functions by Carey, Alan, Gesztesy, Fritz, Potapov, Denis, Sukochev, Fedor, Tomilov, Yuri

“…We study the model operator D A = ( d / dt ) + A in L 2 (R;H) associated with the operator path { A ( t )} t =−∞ ∞ , where ( A f )( t ) = A ( t ) f ( t ) for…”
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Bernstein functions and rates in mean ergodic theorems for operator semigroups by Gomilko, Alexander, Haase, Markus, Tomilov, Yuri

“…We present a functional calculus approach to the study of rates of decay in mean ergodic theorems for bounded strongly continuous operator semigroups. A…”
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