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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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