Multi-analytic operators on Fock spaces.
On factorization and partial indices of unitary matrix-functions of one class.
On product of projections
An operator with infinite dimensional kernel is positive iff it is a positive scalar times a certain product of three projections.
On some matrix Inequalities in Banach Spaces
Opérateurs sur un espace
Outer factorization of operator valued weight functions on the torus
An exact criterion is derived for an operator valued weight function on the torus to have a factorization , where the operator valued Fourier coefficients of Φ vanish outside of the Helson-Lowdenslager halfplane , and Φ is “outer” in a related sense. The criterion is expressed in terms of a regularity condition on the weighted space of vector valued functions on the torus. A logarithmic integrability test is also provided. The factor Φ is explicitly constructed in terms of Toeplitz operators...
Products of commuting nilpotent operators.
Projections from a von Neumann algebra onto a subalgebra
Proportional factorization of entropy ideals.
Quasi-isometric vector bundles and bounded factorization of holomorphic matrices
We give a sufficient condition for a hermitian holomorphic vector bundle over the disk to be quasi-isometric to the trivial bundle. One consequence is a version of Cartan's lemma on the factorization of matrices with uniform bounds.
Random variational inequalities in the absence of sample path continuity.
Strongly elliptic operators for a plane wave diffraction problem in Bessel potential spaces.
Sur la factorisation de certains multiplicateurs.
The Szegö and Beurling theorems and operator factorizations
Un théorème sur les opérateurs linéaires entre espaces de Banach qui se factorisent par un espace de Hilbert
Uniform factorization for compact sets of weakly compact operators
We prove uniform factorization results that describe the factorization of compact sets of compact and weakly compact operators via Hölder continuous homeomorphisms having Lipschitz continuous inverses. This yields, in particular, quantitative strengthenings of results of Graves and Ruess on the factorization through -spaces and of Aron, Lindström, Ruess, and Ryan on the factorization through universal spaces of Figiel and Johnson. Our method is based on the isometric version of the Davis-Figiel-Johnson-Pełczyński...
Глобальная факторизация мероморфной оператор- функции и некоторые ее приложения
Задача об установившихся колебаниях трансверсально-изотропного полуцилиндра
Несколько замечаний о факторизации операторов в банаховом пространстве и абстрактном уравнении Винера-Хопфа
О базисности некоторой части собственных и присоединенных векторов самосопряженного операторного пучка