On the Riesz space properties of the space of real statistically convergent sequences

• Autorzy: Sencimen T. T , Pehlivan S
• Języki publikacji: EN

Abstrakty

EN

In this paper, we investigate some Riesz space (vector lattice) properties of the space of real statistically convergent sequences. We prove that this space is an order dense Riesz subspace of the linear space of all real sequences, but it is not an ideal.

Słowa kluczowe

EN

Riesz space; ideal; band; statistically convergent sequence

PL

przestrzeń Riesza; ideał; ciąg statystycznie zbieżny

• Wydawca: De Gruyter
• Czasopismo: Journal of Applied Analysis
• Rocznik: 2013
• Tom: Vol. 19, nr 1
• Strony: 31--39
• Opis fizyczny: Bibliogr. 21 poz.

Twórcy

autor

Sencimen T. T

• Department of Mathematics, Graduate School of Applied and Natural Sciences, Süleyman Demirel University, East Campus 32260 Isparta, Turkey

autor

Pehlivan S

• Department of Mathematics, Faculty of Arts and Sciences, Süleyman Demirel University, East Campus 32260 Isparta, Turkey

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