Zobrazeno 1 - 10
of 49
pro vyhledávání: '"Yuri Tomilov"'
We construct two bounded functional calculi for sectorial operators on Banach spaces, which enhance the functional calculus for analytic Besov functions, by extending the class of functions, generalizing and sharpening estimates, and adapting the cal
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d01663681aadcd3680a40a030679f934
https://doi.org/10.1017/s1474748021000414
https://doi.org/10.1017/s1474748021000414
Autor:
Yuri Tomilov, Alexander Gomilko
Publikováno v:
Revista Matemática Iberoamericana. 37:1045-1081
Motivated by applications to renewal theory, Erdős, de Bruijn and Kingman posed a problem on boundedness of reciprocals (1−z)/(1−F(z)) in the unit disc for probability generating functions F(z). This problem was solved by Ibragimov in 1975 by co
Autor:
Vladimir Müller, Yuri Tomilov
Publikováno v:
Transactions of the American Mathematical Society. 372:3565-3595
We introduce new techniques allowing one to construct diagonals of bounded Hilbert space operators and operator tuples under “Blaschke-type” assumptions. This provides a new framework for a number of results in the literature and identifies (ofte
Publikováno v:
Mitteilungen der Deutschen Mathematiker-Vereinigung
Mitteilungen der Deutschen Mathematiker-Vereinigung, De Gruyter, 2021, 20 (3), pp.163-164. ⟨10.1515/dmvm-2021-0060⟩
Mitteilungen der Deutschen Mathematiker-Vereinigung, De Gruyter, 2021, 20 (3), pp.163-164. ⟨10.1515/dmvm-2021-0060⟩
International audience; This note is an anonymous case study of a serious and multiple ethical misconduct, where an authorsimultaneously submitted a paper to five journals for publication and committed some form of plagiarism.
Autor:
Yuri Tomilov, Vladimir Müller
Publikováno v:
Journal of the London Mathematical Society. 99:127-152
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 operator orbits into certain approximation and interpolation properties for powers in the unifo
Publikováno v:
Journal of Functional Analysis. 281:109089
We extend and deepen the theory of functional calculus for semigroup generators, based on the algebra $\mathcal B$ of analytic Besov functions, which we initiated in a previous paper. In particular, we show that our construction of the calculus is op
Publikováno v:
Advances in Mathematics. 308:896-940
We obtain integral representations for the resolvent of $\psi(A)$, where $\psi$ is a holomorphic function mapping the right half-plane and the right half-axis into themselves, and $A$ is a sectorial operator on a Banach space. As a corollary, for a w
This book features selected and peer-reviewed lectures presented at the 3rd Semigroups of Operators: Theory and Applications Conference, held in Kazimierz Dolny, Poland, in October 2018 to mark the 85th birthday of Jan Kisyński. Held every five year
We construct a new bounded functional calculus for the generators of bounded semigroups on Hilbert spaces and generators of bounded holomorphic semigroups on Banach spaces. The calculus is a natural (and strict) extension of the classical Hille-Phill
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a463a8e4775912de01191e555fce0679
http://arxiv.org/abs/1810.11799
http://arxiv.org/abs/1810.11799
Autor:
Yuri Tomilov, Alexander Gomilko
Publikováno v:
Advances in Mathematics. 283:155-194
We prove that for any Bernstein function ψ the operator − ψ ( A ) generates a bounded holomorphic C 0 -semigroup ( e − t ψ ( A ) ) t ≥ 0 on a Banach space, whenever −A does. This answers a question posed by Kishimoto and Robinson. Moreover