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Some sequence spaces involving invariant means. (English) Zbl 0681.46008

Summary: The paper introduces a new sequence space which emerges naturally from the concepts of invariant means. Some inclusion relations, local boundedness, r-convexity and some matrix transformations have been discussed.

MSC:

46A45 Sequence spaces (including Köthe sequence spaces)
47B37 Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.)
40J05 Summability in abstract structures
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