A method of approximate factorization of positive definite matrix functions
An algorithm of factorization of positive definite matrix functions of second order is proposed.
A note on absolutely P-summing operators.
A note on embedding into product spaces
Using factorization properties of an operator ideal over a Banach space, it is shown how to embed a locally convex space from the corresponding Grothendieck space ideal into a suitable power of , thus achieving a unified treatment of several embedding theorems involving certain classes of locally convex spaces.
Algunos resultados sobre representabilidad finita de 1q (O < q ≤∞) en espacios p-Banach.
An application of newton iteration procedure to -adic differential equations
Analytic roots of invertible matrix functions.
Asymptotics of solutions to some boundary value problems of elasticity for bodies with cuspidal edges.
Block Toeplitz operators with frequency-modulated semi-almost periodic symbols.
Boundary value problems in domains with peaks.
Compactness properties of vector-valued integration maps in locally convex spaces
Complementary triangular forms
The notion of simultaneous reduction of pairs of matrices and linear operators to triangular forms is introduced and a survey of known material on the subject is given. Further, some open problems are pointed out throughout the text. The paper is meant to be accessible to the non-specialist and does not contain any new results or proofs.
Cones contained in a Banach space and factorization of positive operators defined on its dual with values in a space L1.
Continuity versus boundedness of the spectral factorization mapping
This paper characterizes the Banach algebras of continuous functions on which the spectral factorization mapping 𝔖 is continuous or bounded. It is shown that 𝔖 is continuous if and only if the Riesz projection is bounded on the algebra, and that 𝔖 is bounded only if the algebra is isomorphic to the algebra of continuous functions. Consequently, 𝔖 can never be both continuous and bounded, on any algebra under consideration.
Continuous factorizations of covariance operators and Gaussian processes
Dual results of factorization for operators.
Einschliessungsaussagen für Differentialoperatoren vierter Ordnung und ein Verfahren zur Berechnung von Schrankenfunktionen.
Factoring Operators Through Banach Lattices Not Containing C(0, 1).
Factoring Rosenthal operators.
In this paper we show that a Rosenthal operator factors through a Banach space containing no isomorphs of l1.
Factoring the identity operator on a subspace of
Factoring unconditionally converging operators