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2.175  Articles
1 of 219 pages  |  10  records  |  more records»
One solves Markov moment and Mazur-Orlicz problems in concrete spaces of functions and respectively operators. One uses earlier results, as well as recent theorems on the subject. One characterizes the existence of a solution, or one gives sufficient cond... see more

One recalls the relationship between the Markov moment problem and extension of linear functionals (or operators), with two constraints. One states necessary and sufficient conditions for the existence of solutions of some abstract vector-valued Markov mo... see more

The Orlicz-Pettis Theorem for locally convex spaces asserts that a series in the space which is subseries convergent in the weak topology is actually subseries convergent in the original topology of the space. A subseries convergent series can be viewed a... see more

in this note we define the idea of signed subseries convergent series in a normed linear space, and establish a result analogous to the Orlicz-Pettis theorem; namely, that weakly siqned subseries convergent series are norm signed subseries convergent.

This paper presents the following definition which is natural combition of the definition for asymptotically equivalent and Orlicz function. The two nonnegative double sequences x=(x_{k,l}) and y=(y_{k,l}) are said to be M-asymptotically double equivalent... see more

In this paper we establish two abstract versions of the classical Orlicz-Pettis Theorem for multiplier convergent series. We show that these abstract results yield known versions of the Orlicz-Pettis Theorem for locally convex spaces as well as versions f... see more

Let X, Y be locally convex spaces and L(X, Y ) the space of continuous linear operators from X into Y . We consider 2 types of multiplier convergent theorems for a series ? T? in L(X, Y ). First, if ? is a scalar sequence space, we say that the series ? T... see more

Let X, Y be locally convex spaces and L(X, Y ) the space of continuous linear operators from X into Y. We consider 2 types of multiplier convergent theorems for a series PTk in L(X, Y ). First, if ? is a scalar sequence space, we say that the series PTk i... see more


1 of 219 pages  |  10  records  |  more records»