On the interpolation of sublinear operators
On the intersection of Sobolev spaces
On the intrinsic geometry of a unit vector field
We study the geometrical properties of a unit vector field on a Riemannian 2-manifold, considering the field as a local imbedding of the manifold into its tangent sphere bundle with the Sasaki metric. For the case of constant curvature , we give a description of the totally geodesic unit vector fields for and and prove a non-existence result for . We also found a family of vector fields on the hyperbolic 2-plane of curvature which generate foliations on with leaves of constant intrinsic...
On the invariant subspace problem in Banach spaces
On the isometries of spaces of Hölder continuous functions
On the isomorphic classification of weighted spaces of holomorphic functions
On the isomorphism classes of weighted spaces of harmonic and holomorphic functions
Let Ω be either the complex plane or the open unit disc. We completely determine the isomorphism classes of and investigate some isomorphism classes of where v is a given radial weight function. Our main results show that, without any further condition on v, there are only two possibilities for Hv, namely either or , and at least two possibilities for hv, again and . We also discuss many new examples of weights.
On the isomorphism of cartesian products of locally convex spaces
On the John-Strömberg-Torchinsky Characterizstion of BMO.
On the joint spectral radii of commuting Banach algebra elements
Some inequalities are proved between the geometric joint spectral radius (cf. [3]) and the joint spectral radius as defined in [7] of finite commuting families of Banach algebra elements.
On the joint spectral radius
We prove the -spectral radius formula for n-tuples of commuting Banach algebra elements
On the Jordan model operators
On the -theory of higher rank graph -algebras.
On the k-convexity of the Besicovitch-Orlicz space of almost periodic functions with the Orlicz norm
Boulahia and the present authors introduced the Orlicz norm in the class -a.p. of Besicovitch-Orlicz almost periodic functions and gave several formulas for it; they also characterized the reflexivity of this space [Comment. Math. Univ. Carolin. 43 (2002)]. In the present paper, we consider the problem of k-convexity of -a.p. with respect to the Orlicz norm; we give necessary and sufficient conditions in terms of strict convexity and reflexivity.
On the Kleinecke-Shirokov Theorem for families of derivations
It is proved that Riesz elements in the intersection of the kernel and the closure of the image of a family of derivations on a Banach algebra are quasinilpotent. Some related results are obtained.
On the (k-M) property.
On the Kolmogorov-Stein inequality.
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.