Faces in the Unit Ball of the Dual of L (Rn).
Factorable and strictly singular operators in a product space
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
Factorisation des isomorphies d’ordre des espaces
Factorisation d'opérateurs différentiels à coefficients rationnels
Factorization by Lattice Homomorphisms.
Factorization of compact operators and applications to the approximation problem
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 unbounded operators on Köthe spaces
The main result is that the existence of an unbounded continuous linear operator T between Köthe spaces λ(A) and λ(C) which factors through a third Köthe space λ(B) causes the existence of an unbounded continuous quasidiagonal operator from λ(A) into λ(C) factoring through λ(B) as a product of two continuous quasidiagonal operators. This fact is a factorized analogue of the Dragilev theorem [3, 6, 7, 2] about the quasidiagonal characterization of the relation (λ(A),λ(B)) ∈ ℬ (which means that all...
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.
Factorization through Hilbert space and the dilation of L(X,Y)-valued measures
We present a general necessary and sufficient algebraic condition for the spectral dilation of a finitely additive L(X,Y)-valued measure of finite semivariation when X and Y are Banach spaces. Using our condition we derive the main results of Rosenberg, Makagon and Salehi, and Miamee without the assumption that X and/or Y are Hilbert spaces. In addition we relate the dilation problem to the problem of factoring a family of operators through a single Hilbert space.