Çarşamba Seminerleri: Prof. Dr. Mehmet Küçükaslan

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SEMİNER

"Extension of Bounded Sequence Space in the Sense of Natural Density"



Prof. Dr. Mehmet KÜÇÜKASLAN

Mersin Üniversitesi

mkucukaslan@mersin.edu.tr

ÖZET: In this talk, we will use natural density to obtain the space statistically bounded sequences (st-b-S) which is the statistical extension of the space bounded sequences (b-S). It will be shown that the space st-b-S is not only a linear space, but also a Banach space with the norm generated using density.

In the last part of the talk, we will prove that there is no matrix extension of  the spece b-S such that its bounded sequences space covers st-b-S. Finally, it is shown that the space b-S is a non porous subset of st-b-S.

 

TARİH/SAAT           : 23.12.2020/15:30

YER                           : ZOOM MEETING. Link için tıklayınız.


  • 2020-12-22 07:22:05
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