Some results on the non-commutative neutrix product of distributions and .
Some results on the product of distributions and the change of variable
Let and be distributions in and let be an infinitely differentiable function with , (or ). It is proved that if the neutrix product exists and equals , then the neutrix product exists and equals .
Some results on the span of families of Banach valued independent, random variables.
Some seminorms on quasi *-algebras
Different types of seminorms on a quasi *-algebra (𝔄,𝔄₀) are constructed from a suitable family ℱ of sesquilinear forms on 𝔄. Two particular classes, extended C*-seminorms and CQ*-seminorms, are studied in some detail. A necessary and sufficient condition for the admissibility of a sesquilinear form in terms of extended C*-seminorms on (𝔄,𝔄₀) is given.
Some sequence spaces and almost boundedness
Some sequence spaces and statistical convergence.
Some sequence spaces defined by Orlicz functions
In this paper we introduce a new concept of -strong convergence with respect to an Orlicz function and examine some properties of the resulting sequence spaces. It is also shown that if a sequence is -strongly convergent with respect to an Orlicz function then it is -statistically convergent.
Some Set-Theoretical Aspects of Differentation Theory.
Some simple proofs in holomorphic spectral theory
This paper gives some very elementary proofs of results of Aupetit, Ransford and others on the variation of the spectral radius of a holomorphic family of elements in a Banach algebra. There is also some brief discussion of a notorious unsolved problem in automatic continuity theory.
Some spaces of double difference sequences of fuzzy numbers
Some spaces of entire and nuclearly entire functions on a Banach space. I.
Some spaces of entire and nuclearly entire functions on a Banach space. II.
Some spaces of lacunary convergent sequences defined by Orlicz functions.
Some spectral properties of operator-valued representations of function algebras
Some stability results for asymptotic norming properties of Banach spaces
Some stability results for Picard iterative process in uniform space.
Some statistically convergent difference sequence spaces defined over real 2-normed linear spaces.
Some Steinhaus type theorems over valued fields
Some strongly bounded classes of Banach spaces
We show that the classes of separable reflexive Banach spaces and of spaces with separable dual are strongly bounded. This gives a new proof of a recent result of E. Odell and Th. Schlumprecht, asserting that there exists a separable reflexive Banach space containing isomorphic copies of every separable uniformly convex Banach space.
Some Structures Related to Metric Projections in Orlicz Spaces
We discuss k-rotundity, weak k-rotundity, C-k-rotundity, weak C-k-rotundity, k-nearly uniform convexity, k-β property, C-I property, C-II property, C-III property and nearly uniform convexity both pointwise and global in Orlicz function spaces equipped with Luxemburg norm. Applications to continuity for the metric projection at a given point are given in Orlicz function spaces with Luxemburg norm.