EAP - Proceedings of the Estonian Academy of Sciences

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SINCE 1952

proceedings
of the estonian academy of sciences

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F-seminorms on generalized double sequence spaces defined by modulus functions; pp. 121–132

PDF | doi: 10.3176/proc.2014.2.02

Authors

Enno Kolk, Annemai Raidjõe

Abstract

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.

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