搜索结果: 1-9 共查到“泛函分析 Noncommutative”相关记录9条 . 查询时间(0.05 秒)
Noncommutative spectral synthesis for the involutive Banach algebra associated with a topological dynamical system
Involutive Banach algebra crossed product structure of ideals spectral synthesis topological dynamical system
2012/6/12
If X is a compact Hausdorff space, supplied with a homeomorphism, then a crossed product involutive Banach algebra is naturally associated with these data. If X consists of one point, then this algebr...
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...
Fixed Points Theorems of Ordered Contractive Maps on Noncommutative Banach spaces
Fixed point Order contractive map Noncommutative Banach space
2011/10/26
The paper introduces the concept of noncommutative Banach spaces and obtains several fixed point theorems for continuous or discontinuous ordered contractive maps in ordered noncommutative Banach spac...
Square functions for Ritt operators on noncommutative $L^p$-spaces
noncommutative Lp-space Ritt operator square function Stolz domain functional calculus
2011/9/14
Abstract: For any Ritt operator $T$ acting on a noncommutative $L^p$-space, we define the notion of \textit{completely} bounded functional calculus $H^\infty(B_\gamma)$ where $B_\gamma$ is a Stolz dom...
Noncommutative circle bundles and new Dirac operators
Noncommutative circle bundles new Dirac operators
2011/1/21
We study the spectral triples over the total space of noncommutative principal U(1) bundles. Basing on the classical situation and the abstract algebraic approach we propose a definition of connection...
Covariant Quantum Fields on Noncommutative Spacetimes
Covariant Quantum Fields Noncommutative Spacetimes
2010/12/16
A spinless covariant field ϕ on Minkowski spacetime Md+1 obeys the relation U(a,)ϕ(x)U(a,)−1 =ϕ(x + a) where (a,) is an element of the Poincar´e group P↑ + and U : (a,)...
Physical considerations strongly indicate that spacetime at Planck scales is noncommutative. A popular model for such a spacetime is the Moyal plane. The Poincare group algebra acts on it with a Drin...
On Matsaev's conjecture for contractions on noncommutative $L_p$-spaces
Matsaev’s conjecture noncommutative Lp-spaces complex interpolation Schur multipliers
2010/12/1
We exhibit large classes of contractions on noncommutative Lp-spaces which satisfy the non-
commutative analogue of Matsaev’s conjecture, introduced by V.V. Peller.