Moment sequences associated with probability distributions can be sources of integer sequences. Operators on probability distributions correspond to operators on integer sequences. Thus, there is an opportunity to apply each theory to the other. Moreover, probability models can be sources of integer sequences, both classical and new, as we show by considering the classical M/G/1 single-server q...

The symmetric shape of some inequalities between two sequences real numbers generates the same in operator theory. In this paper, we study a new refinement Cauchy–Bunyakovsky–Schwarz inequality for Euclidean spaces and several bounded linear operators on Hilbert space, where mention Bohr’s Bergström’s operators. We present an type operators, by technique monotony sequence. also prove Aczél spac...

A wide new class of subsets a Banach space X named coarse p-limited sets ( $$ 1\le p < \infty ) is introduced by considering weak* p-summable sequences in $$X'$$ instead null sequences. We study its basic properties and compare it with the compact weakly sets. Results concerning relationship operators are obtained.

In this paper, we mainly deal with sequences of bounded linear operators on Hilbert space. The main result is the so-called squeeze theorem (or sandwich rule) for convergent self-adjoint operators. We show that remains valid all three topologies B(H). Some interesting consequences are given.

this paper presents characterizations of m-fuzzifying matroids bymeans of two kinds of fuzzy operators, called m-fuzzifying derived operatorsand m-fuzzifying difference derived operators.

in this paper, we determine the structure of the space of multipliers of the range of a composition operator cφ that induces by the conditional expectation between two lp() spaces.