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On the spaces of \(\lambda \)-convergent and bounded sequences. (English) Zbl 1218.46005
Summary: We introduce the notion of \(\lambda \)-convergent and bounded sequences. Further, we define some related BK spaces and construct their bases. Moreover, we establish some inclusion relations concerning with those spaces and determine their \(\alpha\)-, \(\beta \)- and \(\gamma \)-duals. Finally, we characterize some related matrix classes.

MSC:
46A45 Sequence spaces (including Köthe sequence spaces)
40C05 Matrix methods for summability
40H05 Functional analytic methods in summability
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