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 spaces of double difference sequences of fuzzy numbers
Some spaces of lacunary convergent sequences defined by Orlicz functions.
Some statistically convergent difference sequence spaces defined over real 2-normed linear spaces.
Some Steinhaus type theorems over valued fields
Some topological and geometrical properties of a new difference sequence space.
Some -sequence spaces defined by a modulus
The main object of this paper is to introduce and study some sequence spaces which arise from the notation of generalized de la Vallée–Poussin means and the concept of a modulus function.
Sous-espaces complémentés dans un espace à base inconditionnelle, d’après L. Tzafriri
Sous-espaces des espaces de Banach
Spaces of sequences, sampling theorem, and functions of exponential type
We introduce certain spaces of sequences which can be used to characterize spaces of functions of exponential type. We present a generalized version of the sampling theorem and a "nonorthogonal wavelet decomposition" for the elements of these spaces of sequences. In particular, we obtain a discrete version of the so-called φ-transform studied in [6] [8]. We also show how these new spaces and the corresponding decompositions can be used to study multiplier operators on Besov spaces.
Stability in vector valued -spaces
Stability of smooth sequence spaces.
Standard exact projective resolutions relative to a countable class of Fréchet spaces
We will show that for each sequence of quasinormable Fréchet spaces there is a Köthe space λ such that and there are exact sequences of the form . If, for a fixed ℕ, is nuclear or a Köthe sequence space, the resolution above may be reduced to a short exact sequence of the form . The result has some applications in the theory of the functor in various categories of Fréchet spaces by providing a substitute for non-existing projective resolutions.
Statistically strongly regular matrices and some core theorems.
Strictly and uniformly monotone sequential Musielak-Orlicz spaces.
Strictly contractive projections on classical sequence spaces
Strong barrelledness properties in l ... 0 (X, A) and bounded finite additive measures.
Strongly almost convergent generalized difference sequences associated with multiplier sequences