搜索结果: 1-15 共查到“泛函分析 operator”相关记录39条 . 查询时间(0.109 秒)
Uniform families of ergodic operator nets
amenable semigroups mean ergodic theorem topological Wiener-Wintner theorems
2012/6/21
We study mean ergodicity in amenable operator semigroups and establish the connection to the convergence of strong and weak ergodic nets. We then use these results in order to show the convergence of ...
Creator-annihilator domains and the number operator
Creator-annihilator domains the number operator Functional Analysis
2012/4/23
We show that for the bosonic Fock representation in infinite dimensions, the maximal common domain of all creators and annihilators properly contains the domain of the square-root of the number operat...
Reflexive Operator Algebras on Banach Spaces
operator algebras invariant subspace lattice Boolean algebra of projections spectral operator
2012/4/18
In this paper we study the reflexivity of a unital strongly closed algebra of operators with complemented invariant subspace lattice on a Banach space. We prove that if such an algebra contains a comp...
On a Boundary-Value Problem for One Class of Differential Equations of the Fourth Order with Operator Coefficients
Boundary-Value Problem Operator Coefficients Fourth Order Functional Analysis
2011/9/20
Abstract: The boundary-value problem on semi-axis for one class operator-differential equations of the fourth order, the main part of which has the multiple characteristic is investigated in this pape...
On the operator space $OUMD$ property for the column Hilbert space $C$
column Hilbert space operator space Functional Analysis
2011/9/20
Abstract: The operator space $OUMD$ property was introduced by Pisier in the context of verctor-valued noncommutative $L_p$-spaces. It is still unknown whether the property is independent of $p$ in th...
On the Boundary Value Problem with the Operator in Boundary Conditions for the Operator-Differential Equation of the Third Order
boundary-value problem operator-differential equation Hilbert space self-adjoined operator regular solvability
2011/9/20
Abstract: In this paper the boundary value problem for one class of the operator-differential equations of the third order on a semi-axis, where one of the boundary conditions is perturbed by some lin...
Convolution powers in the operator-valued framework
Convolution powers the operator-valued framework Operator Algebras
2011/9/9
Abstract: We consider the framework of an operator-valued noncommutative probability space over a unital C*-algebra B. We show how for a B-valued distribution \mu one can define convolution powers wit...
The Super Operator System Structures and their applications in Quantum Entanglement Theory
operator system operator space quantum information theory quantum entanglement Schmidt number
2011/9/5
Abstract: An operator system $\cl S$ with unit $e$, can be viewed as an Archimedean order unit space $(\cl S,\cl S^+,e)$. Using this Archimedean order unit space, for a fixed $k\in \bb N$ we construct...
Abstract: Some recent research on the tensor products of operator systems and ensuing nuclearity properties in this setting raised many stability problems. In this paper we examine the preservation of...
Convergence of operator-semigroups associated with generalised elliptic forms
Elliptic sesquilinear forms Semigroup convergence Gibbs semigroups Minimax principle Schatten classes
2011/8/26
Abstract: In a recent article, Arendt and ter Elst have shown that every sectorial form is in a natural way associated with the generator of an analytic strongly continuous semigroup, even if the form...
Borel structure of the spectrum of a closed operator
spectrum point spectrum Hilbert space reflexive Banach space Borel set closed operator weak topology
2011/8/29
Abstract: For a linear operator $T$ in a Banach space let $\sigma_p(T)$ denote the point spectrum of $T$, $\sigma_{p[n]}(T)$ for finite $n > 0$ be the set of all $\lambda \in \sigma_p(T)$ such that $\...
Samuel multiplicities and Browder Spectrum of Operator Matrices
Samuel multiplicities Operator matrices Upper semi-Browder operator Upper semi-Browder spectrum
2011/8/23
Abstract: we show that the definitions of some classes of semi-Fredholm operators, which use the language of algebra and first introduced by X. Fang in [8], are equivalent to that of some well-known o...
Resonant solitons from the $3\times 3$ operator
Soliton Solutions Inverse Scattering Parametric Interactions Three Wave Interactions sl(3) Soliton Solutions Resonant Solitons
2011/7/6
Resonant solitons of the $3\times 3$ operator are studied. The scattering data of this operator contains four transmission coefficients, two in each half complex $\zeta$-plane, where $\zeta$ is the sp...
Eigenvalues of the fractional Laplace operator in the interval
Eigenvalues fractional Laplace operator interval
2011/1/18
Two-term Weyl-type asymptotic law for the eigenvalues of one-dimensional fractional Laplace operator (−) /2 ( ∈ (0, 2)) in the interval (−1, 1) is given: the n-th eigenvalue is equal to ...
The AKNS Hierarchy Integrability Analysis Revisited: The Vertex Operator Approach and its Lie-Algebraic Structure
the AKNS hierarchy Lax type integrability Lie-algebraic approach
2011/3/2
A regular approach to studying the Lax type integrability of the AKNS hierarchy of nonlinear Lax type integrable dynamical systems in the vertex operator representation is devised.