Approximations of Positive Contractions on Loo. II.
Approximationszahlen, p-nukleare Operatoren und Hilbertraumcharakterisierungen.
Area differences under analytic maps and operators
Motivated by the relationship between the area of the image of the unit disk under a holomorphic mapping and that of , we study various norms for , where is the Toeplitz operator with symbol . In Theorem , given polynomials and we find a symbol such that . We extend some of our results to the polydisc.
Around the Furuta inequality – the operator inequalities .
Around the Kato generation theorem for semigroups
We show that the result of Kato on the existence of a semigroup solving the Kolmogorov system of equations in l₁ can be generalized to a larger class of the so-called Kantorovich-Banach spaces. We also present a number of related generation results that can be proved using positivity methods, as well as some examples.
Ascent and descent of weighted composition operators on L^p-spaces
Aspects of the theory of derivations
We survey some old and new results in the theory of derivations on Banach algebras. Although our overview is broad ranging, our principal interest is in recent results concerning conditions on a derivation implying that its range is contained in the radical of the algebra.
Asymptotic Behavior of Eigenvalues of Certain Integral Operators
Asymptotic behavior of singular and entropy numbers for some Riemann-Liouville type operators.
Asymptotic behavior of the approximation numbers of the Hardy-type operator from into (cases , and ).
Asymptotic behaviour in the set of nonhomogeneous chains of stochastic operators
We study different types of asymptotic behaviour in the set of (infinite dimensional) nonhomogeneous chains of stochastic operators acting on L¹(μ) spaces. In order to examine its structure we consider different norm and strong operator topologies. To describe the nature of the set of nonhomogeneous chains of Markov operators with a particular limit behaviour we use the category theorem of Baire. We show that the geometric structure of the set of those stochastic operators which have asymptotically...
Asymptotic Behaviour of Positive Semigroups.
Asymptotic behaviour of semigroups of nonnegative operators on a Banach lattice
Asymptotic convergence theorems for semigroups of nonnegative operators on a Banach lattice, on C(X) and on (1 ≤ p ≤ ∞) are proved. The general results are applied to a class of semigroups generated by some differential equations.
Asymptotic behaviour of some Markov operators appearing in mathematical models of biology
Asymptotic behaviour of stochastic semigroups.
The problem to be treated in this note is concerned with the asymptotic behaviour of stochastic semigroups, as the time becomes very large. The subject is largely motived by the Theory of Markov processes. Stochastic semigroups usually arise from pure probabilistic problems such as random walks stochastic differential equations and many others.An outline of the paper is as follows. Section one deals with the basic definitions relative to K-positivity and stochastic semigroups. Asymptotic behaviour...
Asymptotic behaviour of the iterates of nonnegative operators on a Banach lattice
Asymptotic convergence theorems for nonnegative operators on Banach lattices, on , on C(X) and on are proved. The general results are applied to a class of integral operators on L¹.
Asymptotic Behaviour of the Solution of a Semilinear Parabolic Equation.
Asymptotic Behaviour of Variable-Coefficient Toeplitz Determinants.
Asymptotic commutants and zeros of von Neumann algebras.
Asymptotic decomposition of smoothing positive operators