On Krasnoselskii's cone fixed point theorem.
On Ky Fan's minimax inequalities, mixed equilibrium problems and hemivariational inequalities.
On boundedness for convolutions with kernels having singularities on a sphere
For the convolution operators with symbols , 0 ≤ Re α < n, , we construct integral representations and give the exact description of the set of pairs (1/p,1/q) for which the operators are bounded from to .
On -quasi-derivatives for solutions of perturbed general quasi-differential equations
This paper is concerned with square integrable quasi-derivatives for any solution of a general quasi-differential equation of th order with complex coefficients , provided that all th quasi-derivatives of solutions of and all solutions of its normal adjoint are in and under suitable conditions on the function .
On large subspaces of the Schatten -classes
On Lattice Isomorphisms with Positive Real Spectrum and Groups of Positive Operators.
On Lattice Properties of the Composition Operator.
On L...-decay and scattering for nonlinear Klein-Gordon equations.
On Lebesgue pseudonorms on
On limits of -norms of an integral operator
A recurrence relation for the computation of the -norms of an Hermitian Fredholm integral operator is derived and an expression giving approximately the number of eigenvalues which in absolute value are equal to the spectral radius is determined. Using the -norms for the approximation of the spectral radius of this operator an a priori and an a posteriori bound for the error are obtained. Some properties of the a posteriori bound are discussed.
On linear differential equations with transformed argument solvable by means of right invertible operators
On linear operators having supercyclic vectors
We show that for a real separable Banach space X there are operators in B(X) having supercyclic vectors if and only if dim X ≤ 2 or dim X = ∞.
On linear properties of separable conjugate spaces of C*-algebras
On Lipschitz and d.c. surfaces of finite codimension in a Banach space
Properties of Lipschitz and d.c. surfaces of finite codimension in a Banach space and properties of generated -ideals are studied. These -ideals naturally appear in the differentiation theory and in the abstract approximation theory. Using these properties, we improve an unpublished result of M. Heisler which gives an alternative proof of a result of D. Preiss on singular points of convex functions.
On Lipschitz ball noncollapsing functions and uniform co-Lipschitz mappings of the plane.
On Lipschitz mappings between Fréchet spaces
On Liu's analyticity criterion for semigroups.
On local and global injectivity of noncompact vector fields in non necessarily locally convex vector spaces
We give in this paper conditions for a mapping to be globally injective in a topological vector space.
On local automorphisms and mappings that preserve idempotents
Let B(H) be the algebra of all bounded linear operators on a Hilbert space H. Automorphisms and antiautomorphisms are the only bijective linear mappings θ of B(H) with the property that θ(P) is an idempotent whenever P ∈ B(H) is. In case H is separable and infinite-dimensional, every local automorphism of B(H) is an automorphism.
On local ergodic theorems for positive semigroups