Operator theory and functional analysis have a long tradition, initially being guided by
problems from mathematical physics and applied mathematics. Much of the work in Banach …

Abstract Given 1< p< 2, we construct a Banach function space with σ-order continuous norm
which contains and has the property that the Fourier transform map has a continuous ℓ …

It is well known that the classical Sobolev embeddings may be improved within the
framework of Lorentz spaces L p, q: the space D^1,p(\mathbbR^n), 1< p< n, embeds into …

The principle of optimizing inequalities, or their equivalent operator theoretic formulation, is
well established in analysis. For an operator, this corresponds to extending its action to …

ÃÅ ¹½ ¹¼℄ Mirko Rokyta: On the solvability of a nonlinear discrete problem corresponding to
a higher-order finite volume approximation in 2D. ÃÅ ¹½ ¹¼℄ Jan Cerych: Pervasive …

We will deal exclusively with the integration of scalar (ie, ℝ or ℂ)-valued functions with
respect to vector measures. The general theory can be found in [36, 37, 32],[44, Ch. I II] and …

In this paper we study spaces of Bessel potentials in n-dimensional Euclidean spaces. They
are constructed on the basis of a rearrangement-invariant space (RIS) by using convolutions …

Abstract Let Ψ 1,…, Ψ m be bounded sets of positive kernel operators on a Banach function
space L. We prove that for the generalized spectral radius ρ and the joint spectral radius ρ ˆ …

We prove new inequalities and equalities for the generalized and the joint spectral radius
(and their essential versions) of Hadamard (Schur) geometric means of bounded sets of …

Recently, several authors have proved inequalities on the spectral radius ρ, operator
norm‖·‖ and numerical radius of Hadamard products and ordinary products of …