搜索结果: 106-120 共查到“知识库 泛函分析”相关记录848条 . 查询时间(4.487 秒)
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...
Blends and Alloys
Algebra C*-algebra crossed product tensor product algebra structure conditional expectation index finite type
2012/4/18
Given two algebras A and B, sometimes assumed to be C*-algebras, we consider the question of putting algebra or C*-algebra structures on the tensor product A\otimes B. In the C*-case, assuming B to be...
Approximations of convex bodies by polytopes and by projections of spectrahedra
convex body spectrahedron approximation computational complex-ity semidefinite programming
2012/4/18
We prove that for any compact set B in R^d and for any epsilon >0 there is a finite subset X of B of |X|=d^{O(1/epsilon^2)} points such that the maximum absolute value of any linear function ell: R^d ...
Stable states and representations of the infnite symmetric group
Stable states representations of the infnite symmetric group Functional Analysis
2012/4/18
We introduce the notion of stable representations, -- it is a new class of the representations of a certain class of groups which defined with positive definite functions which generalize the classica...
Hyperfiniteness or amenability of measurable equivalence relations and group actions has been studied for almost fifty years. Recently, unexpected applications of hyperfiniteness were found in compute...
In a previous paper we defined a noncommutative replacement of the Chern-Simons action. In the present paper we investigate and compute the action for a particular example: the quantum group SU_q(2). ...
Chern-Simons theory for the noncommutative 3-torus
Chern-Simons theory the noncommutative 3-torus Operator Algebras
2012/4/18
We study the Chern-Simons action, which was defined for noncommutative spaces in general by the author, for the noncommutative 3-torus, the universal C*-algebra generated by 3 unitaries. D. Essouabri,...
A Chern-Simons action for noncommutative spaces
Chern-Simons action noncommutative spaces Operator Algebras
2012/4/18
Witten constructed a topological quantum field theory with the Chern-Simons action as Lagrangian. We define a proper noncommutative generalization of the Chern-Simons action. "Proper", in this context...
The C*-algebra of an affine map on the 3-torus
C*-algebra affine map 3-torus Operator Algebras
2012/4/17
We study the C*-algebra of an affine map on a compact abelian group and give necessary and sufficient conditions for strong transitivity when the group is a torus. The structure of the C*-algebra is c...
Koplienko gave a trace formula for perturbations of self-adjoint operators by operators of Hilbert-Schmidt class $\mathcal{B}_2(\mathcal{H})$. Recently Gesztesy, Pushnitski and Simon gave an alternati...
Frames and Bases in Tensor Product of Hilbert Spaces
Frame bases Tensor product Frame operator Dual frame Hilbert space
2012/4/17
In this article we develop a theory for frames in tensor product of Hilbert spaces. We show that like bases if Y_1, Y_2, \cdot \cdot \cdot, Y_n are frames for H_1,H_2, \cdot \cdot \cdot, H_n, respecti...
Quantum Feynman-Kac perturbations
Quantum stochastic cocycle Markovian cocycle quantum stochastic flow one-parameter semigroup
2012/3/1
We develop fully noncommutative Feynman-Kac formulae by employing quantum stochastic processes. To this end we establish some theory for perturbing quantum stochastic flows on von Neumann algebras by ...
Products of Unbounded Normal Operators
Product of operators Normal hyponormal subnormal operators
2012/2/29
The present paper partly constitutes an "unbounded" follow-up of a paper by I. Kaplansky dealing with bounded products of normal operators. Results on the normality of unbounded products are also incl...
More on the Normality of the Unbounded Product of Two Normal Operators
Unbounded operators. Selfadjoint and normal operators. Operator products
2012/2/29
Let $A$ and $B$ be two -non necessarily bounded- normal operators. We give conditions making their product normal. This is a continuation of recently obtained results on this subject.
We study pairs (C,D) of unital C*-algebras where D is an abelian C*-subalgebra of C which is regular in C. When D is a MASA in C, there exists a unique completely positive unital map E of C into the i...