Zobrazeno 1 - 10 of 12 pro vyhledávání: '"Charles Batty"'
2
Functional calculi for sectorial operators and related function theory
Autor: Charles Batty, Alexander Gomilko, 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
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3
Some developments around the Katznelson-Tzafriri theorem
Autor: Charles Batty, David Seifert
This paper is a survey article on developments arising from a theorem proved by Katznelson and Tzafriri in 1986 showing that $${\rm lim}_{n \rightarrow \infty} ||T^{n}(I-T)|| = 0$$ lim n → ∞ | | T n ( I - T ) | | = 0 if T is a power-bounded opera
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1937e23eaf3a2519f621eb1ce3134a19
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6
Extensions of semigroups of operators
Autor: Charles Batty, Yeates, S. B.
Publikováno v: Scopus-Elsevier
Let T be a representation of an abelian semigroup S on a Banach space X. We identify a necessary and sufficient condition, which we name superexpansiveness, for T to have an extension to a representation U on a Danach space Y containing X such that e
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::3dc4c7cf2b1622aff933323703f58db5
https://ora.ox.ac.uk/objects/uuid:0c12a7e5-ce38-46be-bdd5-719cd95db01c
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7
A quantitative asymptotic theorem for contraction semigroups with countable unitary spectrum
Autor: Charles Batty, Brzeźniak, Z., Greenfield, D. A.
Publikováno v: Scopus-Elsevier
Let T be a semigroup of linear contractions on a Banach space X, and let Xs(T) = {x ∈ X : lims→∞ ∥T(s)x∥ = 0}. Then Xs(T) is the annihilator of the bounded trajectories of T*. If the unitary spectrum of T is countable, then Xs(T) is the ann
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e59539d0848606e3b49e4a867b1c92e1
https://ora.ox.ac.uk/objects/uuid:7187a60a-e7f7-4a1d-b81f-f1da0e582485
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8
Operator logarithms and exponentials
Autor: Clark, Stephen, (Stephen Andrew), Batty, Charles J. K., Prof. Charles Batty
Since Mclntosh's introduction of the 𝛨∞-calculus for sectorial operators, the topic has been studied by many authors. Haase has constructed a similar functional calculus for strip-type operators, and has also developed an abstract framework whic
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=od______1064::8dee0407530c8e9dadfb4967365799e4
http://ora.ox.ac.uk/objects/uuid:132ebd14-420c-4c24-a38c-9838f7b7e303
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9
The spectral bound of Schrodinger operators
Autor: Arendt, W., Charles Batty
Publikováno v: Scopus-Elsevier
Let V : RN → [0, ∞] be a measurable function, and λ > 0 be a parameter. We consider the behaviour of the spectral bound of the operator 1/2Δ - λV as a function of λ. In particular, we give a formula for the limiting value as λ → ∞, in te
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::ba5d6e9982683a7f8c85b1c9ee279055
http://ora.ox.ac.uk/objects/uuid:dc3cb7fa-9ac8-4d5e-b5a8-21b6a1d0be1c
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