-local unconditional structure of Banach spaces
Pick-Julia Theorems for Operators.
Polar decomposition under perturbations of the scalar product.
Positivity Improving Operators and Hypercontractivity.
Powers of -hyponormal operators.
Product spaces generated by bilinear maps and duality
In this paper we analyse a definition of a product of Banach spaces that is naturally associated by duality with a space of operators that can be considered as a generalization of the notion of space of multiplication operators. This dual relation allows to understand several constructions coming from different fields of functional analysis that can be seen as instances of the abstract one when a particular product is considered. Some relevant examples and applications are shown, regarding pointwise...
Projections, extendability of operators and the Gâteaux derivative of the norm.
Projections, skewness and related constants in real normed spaces.
Proper subspaces and compatibility
Let 𝓔 be a Banach space contained in a Hilbert space 𝓛. Assume that the inclusion is continuous with dense range. Following the terminology of Gohberg and Zambickiĭ, we say that a bounded operator on 𝓔 is a proper operator if it admits an adjoint with respect to the inner product of 𝓛. A proper operator which is self-adjoint with respect to the inner product of 𝓛 is called symmetrizable. By a proper subspace 𝓢 we mean a closed subspace of 𝓔 which is the range of a proper projection. Furthermore,...
Pseudo-Monotone Operators in Banach Spaces and Nonlinear Elliptic Equations.