F-seminorms on generalized double sequence spaces defined by modulus functions

Proceedings of the Estonian Academy of Sciences

Annemai Raidjõe¹  Enno Kolk¹ 

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关键词: double sequence;    F-seminorm;    F-norm;    matrix method;    modulus function;    paranorm;    sequence space;   

DOI  :  10.3176/proc.2014.2.02

学科分类：化学（综合）

来源: Teaduste Akadeemia Kirjastus

【 摘 要 】

Using a double sequence of modulus functions and a solid double scalar sequence space, we determine F-seminorm and F-norm topologies for certain generalized linear spaces of double sequences. The main results are applied to the topologization of double sequence spaces related to 4-dimensional matrix methods of summability.

【 授权许可】

Unknown