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Functions, functionals and operators
We introduced functionals and operators as well as the complete normed linear space, Banach and Hilbert spaces and their basic properties....
BA - Obecná matematika
- 2011 •
- D
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D - Stať ve sborníku
Hilbert Space Operators in Quantum Physics
Theory of linear operators on Hilbert space, their spectral theory operator sets and algebras. Systematic explanation of the foundations of Quantum theory. The study of Schrödinger operators and applicatio...
BE - Teoretická fyzika
- 2008 •
- B
Rok uplatnění
B - Odborná kniha
The commuting graph of bounded linear operators on a Hilbert space
An operator T on the separable infinite-dimensional Hilbert space is constructed so that the commutant of every operator which is not a scalar multiple of the identity operator and commutes with T coincide...
BA - Obecná matematika
- 2013 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
A van der Corput-type lemma for power bounded operators
We prove a van der Corput-type lemma for power bounded Hilbert space operators. As a corollary we show that ... converges in the strong operator topology for all power bounded Hilbert space op...
Pure mathematics
- 2017 •
- Jimp •
- Link
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Jimp - Článek v periodiku v databázi Web of Science
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Matrix representations of arbitrary bounded operators on Hilbert spaces
of a matrix for a bounded linear operator on a Hilbert space can be preassigned. The result is obtained in a more general setting of operator tuples leading to interesting consequences, e.g., when the tuple consis...
Pure mathematics
- 2024 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
A Hilbert Space Operator Representation of Abelian Po-Groups of Bilinear Forms
. Analysis 28, 377-385 (1978)) yields that on an infinite-dimensional complex Hilbert space the set of bilinear forms is richer than the set of linear operators . We show the abelian po-group of symmetric bilinear forms wit...
BA - Obecná matematika
- 2015 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
Analytic Models for Commuting Operator Tuples on Bounded Symmetric Domains.
=(T1,...,Td) of operators on a separable Hilbert space H such that T* is unitarily equivalent to the restriction of M* to an invariant subspace, where M is the operator d-tuple. Z .. I on the Hilbert s...
BA - Obecná matematika
- 2003 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Kreiss bounded and uniformly Kreiss bounded operators
Kreiss bounded operator on Hilbert spaces satisfies ‖Tn‖=O(nlogn). We also prove. As a consequence we obtain examples of mean ergodic Hilbert space operators whichIf T is a Kreiss bounded ope...
Pure mathematics
- 2021 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
On orbit-reflexive operators
for operators in Hilbert spaces. We also exhibit a simple example of a non-orbit-reflexive Hilbert space operator and an example of a reflexive but non-orbit-reflexive operatorLet T be a...
BA - Obecná matematika
- 2009 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Hilbert, Dirichlet and Fejer families of operators arising from C_0-groups, cosine functions and holomorphic semigroups
We extend definitions of Hilbert transform, Dirichlet and Fejer operators from convolution with kernels in Lebesgue spaces to Banach spaces. In these terms the geometric property UMD is characterized. A unified app...
BA - Obecná matematika
- 2010 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
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