On von Neumann's inequality.
On weak (r,2)-summing operators and weak Hilbert spaces
Operator entropy inequalities
We investigate a notion of relative operator entropy, which develops the theory started by J. I. Fujii and E. Kamei [Math. Japonica 34 (1989), 341-348]. For two finite sequences A = (A₁,...,Aₙ) and B = (B₁,...,Bₙ) of positive operators acting on a Hilbert space, a real number q and an operator monotone function f we extend the concept of entropy by setting , and then give upper and lower bounds for as an extension of an inequality due to T. Furuta [Linear Algebra Appl. 381 (2004), 219-235] under...
Operator norm inequalities of Minkowski type.
-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.
Radial maximal function characterizations for Hardy spaces on RD-spaces
An RD-space is a space of homogeneous type in the sense of Coifman and Weiss with the additional property that a reverse doubling property holds. The authors prove that for a space of homogeneous type having “dimension” , there exists a such that for certain classes of distributions, the quasi-norms of their radial maximal functions and grand maximal functions are equivalent when . This result yields a radial maximal function characterization for Hardy spaces on .
Relations Between Summing Norms of Mappings on ln... .
Relative boundedness and compactness theory for second-order differential operators.
Remarks on Set-Contractions and Condensing Maps.
Remarks on symmetries of trilinear forms.
Reverse inequalities on chaotically geometric mean via Specht ratio. II.