On some Banach space constants arising in nonlinear fixed point and eigenvalue theory.
On some BK spaces.
On Some Classes Of Linear Equations
On some classes of linear equations.
On some classes of linear equations, II.
On Some Classes Of Linear Equations III
On some classes of linear equations. IV.
On some classes of linear function transformations of sequences (III)
On some classes of Multiplicity Free representations.
On Some Classes of Operators II.
On some classes of Operators on Hilbert spaces
On some classes of Volterra integral equations in Banach space
On some common fixed point theorems of Aamri and El Moutawakil in uniform spaces.
On some consequences of a generalized continuity
In normed linear space settings, modifying the sequential definition of continuity of an operator by replacing the usual limit "" with arbitrary linear regular summability methods we consider the notion of a generalized continuity (-continuity) and examine some of its consequences in respect of usual continuity and linearity of the operators between two normed linear spaces.
On some constructions of new triangular norms.
We discuss the properties of two types of construction of a new t-norm from a given t-norm proposed recently by B. Demant, namely the dilatation and the contraction. In general, the dilatation of a t-norm is an ordinal sum t-norm and the continuity of the outgoing t-norm is preserved. On the other hand, the contraction may violate the continuity as well as the non-continuity of the outgoing t-norm. Several examples are given.
On some dilation theorems for positive definite operator valued functions
The aim of this paper is to prove dilation theorems for operators from a linear complex space to its Z-anti-dual space. The main result is that a bounded positive definite function from a *-semigroup Γ into the space of all continuous linear maps from a topological vector space X to its Z-anti-dual can be dilated to a *-representation of Γ on a Z-Loynes space. There is also an algebraic counterpart of this result.
On some discontinuous fixed point mappings in convex metric spaces
On some ergodic properties for continuous and affine functions
Two problems posed by Choquet and Foias are solved:(i) Let be a positive linear operator on the space of continuous real-valued functions on a compact Hausdorff space . It is shown that if converges pointwise to a continuous limit, then the convergence is uniform on .(ii) An example is given of a Choquet simplex and a positive linear operator on the space of continuous affine real-valued functions on , such thatfor each in , but does not converge to 0.
On Some Fixed Point Principles for Cones in Linear Normed Spaces.
On some fixed point theorems.