On the KR and WKR points of Orlicz.
In this paper, we obtain criteria for KR and WKR points in Orlicz function spaces equipped with the Luxemburg norm.
On the Kreĭn-Langer integral representation of generalized Nevanlinna functions.
On the K-theory of the -algebra generated by the left regular representation of an Ore semigroup
We compute the -theory of -algebras generated by the left regular representation of left Ore semigroups satisfying certain regularity conditions. Our result describes the -theory of these semigroup -algebras in terms of the -theory for the reduced group -algebras of certain groups which are typically easier to handle. Then we apply our result to specific semigroups from algebraic number theory.
On the Kunen-Shelah properties in Banach spaces
On the -decay and local energy decay of solutions to nonlinear Klein-Gordon equations
On the L2-pointwise regularity of functions in critical Besov spaces.
We show that the functions in L2(Rn) given by the sum of infinitely sparse wavelet expansions are regular, i.e. belong to C∞L2 (x0), for all x0 ∈ Rn which is outside of a set of vanishing Hausdorff dimension.
On the lambda-property and computation of the lambda-function of some normed spaces.
R. M. Aron and R. H. Lohman introduced, in [1], the notion of lambda-property in a normed space and calculated the lambda-function for some classical normed spaces. In this paper we give some more general remarks on this lambda-property and compute the lambda-function of other normed spaces, namely: B(S,∑,X) and Md(E).
On the largest generalized joint spectrum
On the lattice boundary of Markov operators
On the lattice properties of invariant functions for Markov operators on C(X)
On the lattice structure of invariant functions for Markov operators on
On the lattice theory of function semi-norms.
On the law of large numbers for free identically distributed random variables.
On the Lebesgue decomposition of Gleason measures
On the Lebesgue decomposition of the normal states of a JBW-algebra
In this article, a theorem is proved asserting that any linear functional defined on a JBW-algebra admits a Lebesque decomposition with respect to any normal state defined on the algebra. Then we show that the positivity (and the unicity) of this decomposition is insured for the trace states defined on the algebra. In fact, this property can be used to give a new characterization of the trace states amoungst all the normal states.
On the left and right joint spectra in Banach algebras
On the Leontief's problem in Banach lattices
On the Lie algebra of holomorphic infinitesimal isometries of some classical complex symmetric Banach manifolds
The Banach-Lie algebras ℌκ of all holomorphic infinitesimal isometries of the classical symmetric complex Banach manifolds of compact type (κ = 1) and non compact type (κ = −1) associated with a complex JB*-triple Z are considered and the Lie ideal structure of ℌκ is studied.
On the Lifshits Constant for Hyperspaces
The Lifshits theorem states that any k-uniformly Lipschitz map with a bounded orbit on a complete metric space X has a fixed point provided k < ϰ(X) where ϰ(X) is the so-called Lifshits constant of X. For many spaces we have ϰ(X) > 1. It is interesting whether we can use the Lifshits theorem in the theory of iterated function systems. Therefore we investigate the value of the Lifshits constant for several classes of hyperspaces.
On the limitations of the Grothendieck techniques.