Document Zbl 0728.46014

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A contribution to the theory of countably modulared spaces of double sequences. (English) Zbl 0728.46014

Commentat. Math. Univ. Carol. 30, No. 4, 743-748 (1989).

Summary: For the sequences of \(\phi\)-functions \((\phi_ j)\) and \((\Phi_ i)\) we may define two sequences of pseudomodulars \((\rho_ j)\) and \((\nu_ i)\), which are generated by variation and sequential modulus. In the following, we define new modulars and respective contably modulared spaces, and next some properties of these spaces and connections between them are considered.

MSC:

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

Keywords:

\(\phi \) -functions; pseudomodulars; contably modulared spaces

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