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 Operators II.
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 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 functions that map each generator of a -semigroup into the generator of a holomorphic semigroup.
On some inequalities in normed algebras.
On some local spectral theory and bounded local resolvent of operator matrices
We extend and generalize some results in local spectral theory for upper triangular operator matrices to upper triangular operator matrices with unbounded entries. Furthermore, we investigate the boundedness of the local resolvent function for operator matrices.
On some matrix Inequalities in Banach Spaces
On Some Operator Inequalities.
On some properties of Banach operators.
On some properties of Banach operators. II.
On some regularity properties of quadratic stochastic processes.
On some Schrödinger operators with a singular complex potential
On some versions of Jensen's inequality on operator algebras
On Space-Time Means Everywhere Defined Scattering Operators for Nonlinear Klein-Gordon Equations.