On a representation theorem of Goes for null sequences.
On a Theorem of M. Vuilleumier
On a typical property of functions
On -summability of orthogonal series
In the paper, we prove two theorems on summability, , of orthogonal series. Several known and new results are also deduced as corollaries of the main results.
On absolutely divergent series
We show that in the -stage countable support iteration of Mathias forcing over a model of CH the complete Boolean algebra generated by absolutely divergent series under eventual dominance is not isomorphic to the completion of P(ω)/fin. This complements Vojtáš’ result that under the two algebras are isomorphic [15].
On asymptotic behaviour of some sequences built of iterates
On Convergence Of Certain Sequences V
On Convergence of Transfinite Sequences
On convergence preserving transformations of infinite series
On difference equations and discrete systems
On exponents of convergence of subsequences
On faster convergent infinite series.
On integrability of functions defined by trigonometric series.
On matrix rapid filters
Galois-Tukey equivalence between matrix summability and absolute convergence of series is shown and an alternative characterization of rapid ultrafilters on ω is derived.
On Mercer's Theorem for (C, 2) - Means.
On modified asymptotic series involving confluent hypergeometric functions.
On parameter convergence and convergence in larger sense
On property in -spaces
On -statistically convergence and lacunary -statistically convergence
On sequences in vector lattices
In this paper we investigate conditions for a system of sequences of elements of a vector lattice; analogous conditions for systems of sequences of reals were studied by D. E. Peek.