A note on some spaces of distributions with Laplace transform.
A note on spaces of entire functions represented by Dirichlet series.
A note on spaces of holomorphic vector valued functions with the strict topology.
A note on spaces of type
We show that a theorem of Rudin, concerning the sum of closed subspaces in a Banach space, has a converse. By means of an example we show that the result is in the nature of best possible.
A note on states of von Neumann algebras
The author proves that on a von Neumann albebra (possibly of uncountable cardinality) there exists a family of states having mutually orthogonal supports (projections) converging to the identity operator.
A note on strictly cyclic shifts on .
A note on strong differentiability spaces
A Note on Surjections of Locally Convex Spaces.
A note on the almost left and almost right joint spectra of R. Harte
A note on the application of integrals involving cyclic products of kernels.
In statistics of stochastic processes and random fields, a moment function or a cumulant of an estimate of either the correlation function or the spectral function can often contain an integral involving a cyclic product of kernels. We define and study this class of integrals and prove a Young-Hölder inequality. This inequality further enables us to study asymptotics of the above mentioned integrals in the situation where the kernels depend on a parameter. An application to the problem of estimation...
A Note on the Approximation of Elements in the Riesz Tensor Product.
A note on the asymptotics of perturbed expanding maps.
A note on the barrelledness in linear topological spaces
A Note on the Bidual of a JB-Algebra.
A note on the Cauchy-Bochner formula for a class of Beurling ultradistributions
A note on the class of superreflexive almost transitive Banach spaces.
A note on the commutator of two operators on a locally convex space
Denote by the commutator of two bounded operators and acting on a locally convex topological vector space. If , we show that is a quasinilpotent operator and we prove that if is a compact operator, then is a Riesz operator.
A note on the construction of measures taking their values in a Banach space with basis.
If E is a Banach space with a basis {en}, n belonging to N, a vector measure m: a --> E determines a sequence {mn}, n belonging to N, of scalar measures on a named its components. We obtain necessary and sufficient conditions to ensure that when given a sequence of scalar measures it is possible to construct a vector valued measure whose components were those given. Furthermore we study some relations between the variation of the measure m and the variation of its components.
A note on the continuity of multilinear mappings in topological modules.
A note on the convolution and the product and .