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Banach and statistical cores of bounded sequences

Cihan Orhan, Şeyhmus Yardimci (2004)

Czechoslovak Mathematical Journal

In this paper, we are mainly concerned with characterizing matrices that map every bounded sequence into one whose Banach core is a subset of the statistical core of the original sequence.

Cesàro wedge and weak Cesàro wedge F K -spaces

H. G. Ince (2002)

Czechoslovak Mathematical Journal

In this paper we deal with Cesàro wedge and weak Cesàro wedge F K -spaces, and give several characterizations. Some applications of these spaces to general summability domains are also studied.

Double Sequence Spaces Definedby a Sequence of Modulus Functions over n -normed Spaces

Sunil K. Sharma, Ayhan Esi (2014)

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica

In the present paper we introduce some double sequence spaces defined by a sequence of modulus function F = ( f k , l ) over n -normed spaces. We also make an effort to study some topological properties and inclusion relations between these spaces.

Double sequence spaces over n -normed spaces

Kuldip Raj, Sunil K. Sharma (2014)

Archivum Mathematicum

In this paper, we define some classes of double sequences over n -normed spaces by means of an Orlicz function. We study some relevant algebraic and topological properties. Further some inclusion relations among the classes are also examined.

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