Zobrazeno 1 - 10
of 29
pro vyhledávání: '"František Štampach"'
Autor:
Boris Shapiro, František Štampach
Publikováno v:
Constructive Approximation.
We announce an error in the proof of Theorem 8 of Constr.Approx.48(2) (2019) 191–226.
Autor:
Sabine Bögli, František Štampach
Publikováno v:
Journal of spectral theory, 2021, Vol.11(3), pp.1391-1413 [Peer Reviewed Journal]
We study to what extent Lieb–Thirring inequalities are extendable from self-adjoint to general (possibly non-self-adjoint) Jacobi and Schrödinger operators. Namely, we prove the conjecture of Hansmann and Katriel from [12] and answer another open
Autor:
Petr Blaschke, František Štampach
We analyze the asymptotic distribution of roots of Charlier polynomials with negative parameter depending linearly on the index. The roots cluster on curves in the complex plane. We determine implicit equations for these curves and deduce the limitin
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f542e52f598fc33eb9ae97db0bf457a6
http://arxiv.org/abs/2210.16922
http://arxiv.org/abs/2210.16922
Autor:
David Krejčiřík, František Štampach
Publikováno v:
The American Mathematical Monthly. 129:281-283
We give a short proof of a recently established Hardy-type inequality due to Keller, Pinchover, and Pogorzelski together with its optimality. Moreover, we identify the remainder term which makes it into an identity.
2 pages; this is an original
2 pages; this is an original
We make a spectral analysis of discrete Schroedinger operators on the half-line, subject to complex Robin-type boundary couplings and complex-valued potentials. First, optimal spectral enclosures are obtained for summable potentials. Second, general
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::39d3d9e3e8cd26ddb4f75cdce5f07334
http://hdl.handle.net/10044/1/98387
http://hdl.handle.net/10044/1/98387
Publikováno v:
Annales Henri Poincaré. 21:2193-2217
We provide quantitative estimates on the location of eigenvalues of one-dimensional discrete Dirac operators with complex $$\ell ^p$$ -potentials for $$1\le p \le \infty $$ . As a corollary, subsets of the essential spectrum free of embedded eigenval
Autor:
František Štampach, Pavel Šťovíček
Publikováno v:
Toeplitz Operators and Random Matrices ISBN: 9783031138508
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b2cccecd00729148edb72d35ba569c0b
https://doi.org/10.1007/978-3-031-13851-5_25
https://doi.org/10.1007/978-3-031-13851-5_25
Autor:
P. Šťovíček, František Štampach
Publikováno v:
Integral Equations and Operator Theory. 93
Four new examples of explicitly diagonalizable Hankel matrices depending on a parameter $$k\in (0,1)$$ are presented. The Hankel matrices are regarded as matrix operators on the Hilbert space $$\ell ^{2}(\mathbb {N}_{0})$$ and the solution of the spe
Publikováno v:
Journal of Functional Analysis. 276:1681-1716
We provide a complete spectral analysis of all self-adjoint operators acting on l 2 ( Z ) which are associated with two doubly infinite Jacobi matrices with entries given by q − n + 1 δ m , n − 1 + q − n δ m , n + 1 and δ m , n − 1 + α q
Autor:
František Štampach
We analyze spectral properties of the Hilbert $L$-matrix $$\left(\frac{1}{\max(m,n)+\nu}\right)_{m,n=0}^{\infty}$$ regarded as an operator $L_{\nu}$ acting on $\ell^{2}(\mathbb{N}_{0})$, for $\nu\in\mathbb{R}$, $\nu\neq0,-1,-2,\dots$. The approach is
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::47904a188ed840f8f9fa419b269728bd