Factorisation des isomorphies d’ordre des espaces
Factorisation d'opérateurs différentiels à coefficients rationnels
Factorization of entropy ideals: proportional case
Factorization of operators on C*-algebras
Let A be a C*-algebra. We prove that every absolutely summing operator from A into factors through a Hilbert space operator that belongs to the 4-Schatten-von Neumann class. We also provide finite-dimensional examples that show that one cannot replace the 4-Schatten-von Neumann class by the p-Schatten-von Neumann class for any p < 4. As an application, we show that there exists a modulus of capacity ε → N(ε) so that if A is a C*-algebra and with , then for every ε >0, the ε-capacity of...
Factorization of Operators Through Lp ... or Lp1 and Non-Commutative Generalizations.
Factorization Of Quasihyponormal Operators
Factorization of quasihyponormal operators.
Factorization of rational matrix functions and difference equations
In the beginning of the twentieth century, Plemelj introduced the notion of factorization of matrix functions. The matrix factorization finds applications in many fields such as in the diffraction theory, in the theory of differential equations and in the theory of singular integral operators. However, the explicit formulas for the factors of the factorization are known only in a few classes of matrices. In the present paper we consider a new approach to obtain the factorization of a rational matrix...
Factorization of weakly compact operators between Banach spaces and Fréchet or (LB)-spaces
Factorization theorem for -summing operators
We study some classes of summing operators between spaces of integrable functions with respect to a vector measure in order to prove a factorization theorem for -summing operators between Banach spaces.
Factorizations of natural embeddings of into , I
Fejér–Riesz factorizations and the structure of bivariate polynomials orthogonal on the bi-circle
We give a complete characterization of the positive trigonometric polynomials on the bi-circle, which can be factored as where is a polynomial nonzero for and . The conditions are in terms of recurrence coefficients associated with the polynomials in lexicographical and reverse lexicographical ordering orthogonal with respect to the weight on the bi-circle. We use this result to describe how specific factorizations of weights on the bi-circle can be translated into identities relating...
Grothendieck's theorem and factorization for operators in Jordan triples.
Holomorphic Families of Dirac Operators.
(Homogeneous) markovian bridges
(Homogeneous) Markov bridges are (time homogeneous) Markov chains which begin at a given point and end at a given point. The price to pay for preserving the homogeneity is to work with processes with a random life-span. Bridges are studied both for themselves and for their use in describing the transformations of Markov chains: restriction on a random interval, time reversal, time change, various conditionings comprising the confinement in some part of the state space. These bridges lead us to look...
Infinite dimensional stationary sequences with multiplicity one. II.
Inner-outer factorization of operator-valued functions on ordered groups
Inner-outer factorization for matrix-valued functions defined on totally ordered groups has been considered by Helson and Lowdenslager in connection with multivariate prediction theory. We discuss their result in an operator-theoretic framework and prove that there are obstructions to its extension to operator-valued functions.
Inversion of matrix convolution type operators with symmetry.
Invertibility characterization of Wiener-Hopf plus Hankel operators via odd asymmetric factorizations.
-spectral factorization for rational matrix functions with alternative realization.