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Strong factorizations of operators with applications to Fourier and Cesáro transforms
O. Delgado, M. Mastylo, E. A. Sanchez-Perez
Consider two continuous linear operators and between Banach function spaces related to different -finite measures and $…
Some inclusion results for interpolated summing operator ideals and integrability improvement of vector valued functions
Daniel Pellegrino, Pilar Rueda, Enrique A. Sanchez-Perez
Consider a Banach space valued measurable function and an operator from the space where {} takes values. If is Pettis integrable, a classical result due to J. Diest…
The approximation property and Lipschitz mappings on Banach spaces
Pilar Rueda, Enrique A. Sanchez-Perez
We present an overview to the approximation property, paying especial attention to the recent results relating the approximation property to ideals of linear operators and Lipschit…
The Dvoretsky-Rogers Theorem for vector valued integrals on function spaces
P. Rueda, E. A. Sanchez-Perez
We show a Dvoretsky-Rogers type Theorem for the adapted version of the -summing operators to the topology of the convergence of the vector valued integrals on Banach function sp…
Domination spaces and factorization of linear and multilinear summing operators
E. Dahia, D. Achour, P. Rueda +1
It is well known that not every summability property for non linear operators leads to a factorization theorem. In this paper we undertake a detailed study of factorization schemes…
Weak compactness and strongly summing multilinear operators
Daniel Pellegrino, Pilar Rueda, Enrique A. Sanchez-Perez
Every absolutely summing linear operator is weakly compact. However, for strongly summing multilinear operators and polynomials - one of the most natural extensions of the linear c…