Sequences of 0's and 1's
We investigate the extent to which sequence spaces are determined by the sequences of 0's and 1's that they contain.
Sequences of 0's and 1's: sequence spaces with the separable Hahn property
In [3] it was discovered that one of the main results in [1] (Theorem 5.2), applied to three spaces, contains a nontrivial gap in the argument, but neither the gap was closed nor a counterexample was provided. In [4] the authors verified that all three above mentioned applications of the theorem are true and stated a problem concerning the topological structure of one of these three spaces. In this paper we answer the problem and give a counterexample to the theorem in doubt. Also we establish a...
Sequences of Regular Summability Matrices.
Set-theoretic characteristics of summability of sequences and convergence of series
Solid summability fields
Some Characterizations Of Almost Convergence For Single And Double Sequences
Some inclusion theorems for absolute summability
Some Mazur-Orlicz-Brudno like theorems
Some Mercerian Theorems For Regularly Varying Sequences
Some new sequence spaces defined by a modulus function
Some remarks on the structure of the applicability domains of matrix operators and methods.
Some sequence spaces and statistical convergence.
Some spaces of lacunary convergent sequences defined by Orlicz functions.
Some Summability Invariants.
Statistical convergence of a sequence of random variables and limit theorems
In this paper the ideas of three types of statistical convergence of a sequence of random variables, namely, statistical convergence in probability, statistical convergence in mean of order and statistical convergence in distribution are introduced and the interrelation among them is investigated. Also their certain basic properties are studied.
Statistical limit point theorems.
Strict inclusion between strong and ordinary methods of summability.
Strongly almost convergent generalized difference sequences associated with multiplier sequences
Strongly convergent generalized difference sequence spaces defined by a modulus.
Sublinear functionals and KnoppJs core theorem.