On absolute summability for double triangle matrices

Autor:	Hamdullah Şevli, Ekrem Savaş
Přispěvatelé:	Bölüm Yok
Rok vydání:	2010
Předmět:	Discrete mathematics General Mathematics Weighted mean methods Triangular matrix Triangular matrices Main diagonal Operator space Sequence space Bounded operator Matrix (mathematics) Double sequence space Ak spaces Bounded function Bounded variation Mathematics
Zdroj:	Mathematica Slovaca. 60:495-506
ISSN:	1337-2211 0139-9918
DOI:	10.2478/s12175-010-0028-4
Popis:	A lower triangular infinite matrix is called a triangle if there are no zeros on the principal diagonal. The main result of this paper gives a minimal set of sufficient conditions for a double triangle T to be a bounded operator on Open image in new window ; i.e., T ∈ B ( Open image in new window ) for the sequence space Open image in new window defined below. As special summability methods T we consider weighted mean and double Cesaro, (C, 1, 1), methods. As a corollary we obtain necessary and sufficient conditions for a double triangle T to be a bounded operator on the space Open image in new window of double sequences of bounded variation.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8545213b5b91ae712889c2af6b7c15b0 https://doi.org/10.2478/s12175-010-0028-4 Zobrazit plný text záznamu Full text from SpringerLink