On a function that realizes the maximal spectral type
We show that for a unitary operator U on , where X is a compact manifold of class , , and μ is a finite Borel measure on X, there exists a function that realizes the maximal spectral type of U.
On a functional equation with derivative and symmetrization
We study existence, uniqueness and form of solutions to the equation where α, β, γ and f are given, and stands for the even part of a searched-for differentiable function g. This equation emerged naturally as a result of the analysis of the distribution of a certain random process modelling a population genetics phenomenon.
On a functional representation of the lattice of projections on a Hilbert space
On a Functional Which is Quadratic on A-orthogonal Vectors
On a general bidimensional extrapolation problem
Several generalized moment problems in two dimensions are particular cases of the general problem of giving conditions that ensure that two isometries, with domains and ranges contained in the same Hilbert space, have commutative unitary extensions to a space that contains the given one. Some results concerning this problem are presented and applied to the extension of functions of positive type.
On a general type of -adic parabolic equations.
On a generalization of a Greguš fixed point theorem
Let be a closed convex subset of a complete convex metric space . In this paper a class of selfmappings on , which satisfy the nonexpansive type condition below, is introduced and investigated. The main result is that such mappings have a unique fixed point.
On a generalization of Lumer-Phillips' theorem for dissipative operators in a Banach space
Using [1], which is a local generalization of Gelfand's result for powerbounded operators, we first give a quantitative local extension of Lumer-Philips' result that states conditions under which a quasi-nilpotent dissipative operator vanishes. Secondly, we also improve Lumer-Phillips' theorem on strongly continuous semigroups of contraction operators.
On a generalization of W*-modules
a recent paper of the first author and Kashyap, a new class of Banach modules over dual operator algebras is introduced. These generalize the W*-modules (that is, Hilbert C*-modules over a von Neumann algebra which satisfy an analogue of the Riesz representation theorem for Hilbert spaces), which in turn generalize Hilbert spaces. In the present paper, we describe these modules, giving some motivation, and we prove several new results about them.
On a higher-order evolution equation with a Stepanov-bounded solution.
On a Hilbert-type integral inequality in the subinterval and its operator expression.
On a Hilbert-type operator with a class of homogeneous kernels.
On a Hilbert-type operator with a symmetric homogeneous kernel of -order and applications.
On a hybrid method for generalized mixed equilibrium problem and fixed point problem of a family of quasi--asymptotically nonexpansive mappings in Banach spaces.
On a -polar decomposition of a bounded operator and matrices of -symmetric and -skew-symmetric operators.
On a Jensen-Mercer operator inequality.
On a Kleinecke-Shirokov theorem
We prove that for normal operators the generalized commutator approaches zero when tends to zero in the norm of the Schatten-von Neumann class with and varies in a bounded set of such a class.
On a Linear Operator Connected with Almost Periodic Solutions of a Linear Differential Equations in Banach Spaces
On a Li–Stević integral-type operators between different weighted Bloch-type spaces.
On a local degree for a class of multi-valued vector fields in infinite dimensional Banach spaces.