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On generalized sequence modular spaces connected with strong \((A,\varphi)\)-summability. (English) Zbl 0805.46014

Summary: The note presents properties and theorems on the space \(T^*_ \varphi\) of strong \((A,\varphi)\)-summable sequences, where \(\varphi= \{\varphi_ \nu\}\) is a given sequence of \(\varphi\)-functions and \(A\) denotes a non- negative matrix which contains no column consisting of zeros only.

MSC:

46A80 Modular spaces
46A45 Sequence spaces (including Köthe sequence spaces)
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