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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...
Central limit theorems for Hilbert-space valued random fields satisfying a strong mixing condition
Central limit theorems Hilbert-space valued
2011/1/19
In this paper we study the asymptotic normality of the normalized partial sum of a Hilbert-space valued strictly stationary random field satisfying the interlaced ρ′-mixing condition.
Real analytic approximations which almost preserve Lipschitz constants of functions defined on the Hilbert space
Real analytic approximations Lipschitz constants of functions defined Hilbert space
2011/2/24
Let X be a separable real Hilbert space. We show that for every Lipschitz function f : X ! R, and for every " > 0, there exists a Lipschitz, real analytic function g : X ! R such that |f(x) − g(...
Pauli graphs when the Hilbert space dimension contains a square: why the Dedekind psi function ?
Pauli graphs Hilbert space dimension
2010/12/9
We study the commutation relations within the Pauli groups built on all decompositions of a given Hilbert space dimension q, containing a square, into its factors.
Effective construction of a class of positive operators in Hilbert space, which do not admit triangular factorization
Triangular operators nest algebra multiplicity 1 hyperin-transitive operator
2010/12/2
A class of non-factorable positive operators is constructed. As a result,pure existence theorems in the well-known problems by Ringrose,Kadison and Singer are substituted by concrete examples.