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pro vyhledávání: '"Jean Esterle"'
Autor:
Jean Esterle
Publikováno v:
Bulletin of the London Mathematical Society. 55:399-409
Autor:
Jean Esterle
Publikováno v:
Journal of the Australian Mathematical Society. 104:195-217
Let$a\in \mathbb{R}$, and let$k(a)$be the largest constant such that$\sup |\text{cos}(na)-\cos (nb)|for$b\in \mathbb{R}$implies that$b\in \pm a+2\unicode[STIX]{x1D70B}\mathbb{Z}$. We show that if a cosine sequence$(C(n))_{n\in \mathbb{Z}}$with values
Autor:
Jean Esterle
Let A be a commutative Banach algebra such that uA = {0} for u $\in$ A \ {0} which possesses dense principal ideals. The purpose of the paper is to give a general framework to define F (--$\lambda$1$\Delta$T 1 ,. .. , --$\lambda$ k $\Delta$T k) where
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d0fe08808e585d1001f8b0400d44fdfd
This paper provides sharp lower estimates near the origin for the functional calculus $F(-uA)$ of a generator $A$ of an operator semigroup defined on a sector; here $F$ is given as the Fourier--Borel transform of an analytic functional. The results a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7d18c56b095fa4be6d4e22dbfdd79d28
https://eprints.whiterose.ac.uk/128698/1/taurus4.pdf
https://eprints.whiterose.ac.uk/128698/1/taurus4.pdf
Publikováno v:
Studia Mathematica. 227:193-218
In this work we discuss several ways to extend to the context of Banach spaces the notion of Hilbert-Schmidt operators: $p$-summing operators, $\gamma$-summing or $\gamma$-radonifying operators, weakly $*1$-nuclear operators and classes of operators
Autor:
Jean Esterle
Publikováno v:
Integral Equations Operator Theory
Integral Equations Operator Theory, 2016, 85 (3), pp.347-357
Integral Equations Operator Theory, 2016, 85 (3), pp.347-357
Let $(C(t))\_{t \in R}$ be a cosine function in a unital Banach algebra. We show that if $sup\_{t\in R}\Vert C(t)-cos(t)\Vert \textless{} 2$ for some continuous scalar bounded cosine function $(c(t))\_{t\in \R},$ then the closed subalgebra generated
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9424b741bd5d4374a2a27a28d67295d1
https://hal.archives-ouvertes.fr/hal-01111839v3/document
https://hal.archives-ouvertes.fr/hal-01111839v3/document
Autor:
Jean Esterle
Publikováno v:
Mathematical Proceedings of the Royal Irish Academy. 112:101-115
Let K be an infinite compact space, let C(K) be the algebra of continuous complex-valued functions of K, let F be a well-ordered chain of nonmaximal prime ideals of C(K), let I_F be the smallest element of F and let M_F be the unique maximal ideal of
Publikováno v:
Acta Mathematica Sinica, English Series. 26:2239-2254
This paper is concerned first with the behaviour of differences T(t)-T(s) near the origin, where (T(t)) is a semigroup of operators on a Banach space, defined either on the positive real line or a sector in the right half-plane (in which case it is a
Publikováno v:
Archiv der Mathematik. 89:243-253
Let A be a Banach algebra which does not contain any nonzero idempotent element, let γ > 0, and let \(x \in A\). We show that if \(\parallel x \parallel \geq \frac{log(\gamma + 1)}{\gamma},\) then \(\parallel e^{x} - e^{(\gamma+1)x} \parallel \geq \