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## On Some Sequence Spaces Related to a Sequence in a Normed space

#### Ramazan Kama [1] , Bilal Altay [2]

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In this paper, we introduce some new multiplier sequence spaces by using sequences in a normed space $X$ and matrix domain of Ces\'aro summability method in $\ell_\infty$ and $c_0$. Then we obtain the characterizations of completeness and barrelledness of normed space $X$ through its weakly and weakly* unconditionally Cauchy series.

Mulpilier spaces, weakly unconditionally Cauchy series, completeness, Cesáro sequence spaces, barrelledness
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Primary Language en Engineering Articles Orcid: 0000-0003-3520-1227Author: Ramazan Kama (Primary Author)Institution: SIIRT UNIVERSITYCountry: Turkey Author: Bilal AltayInstitution: INONU UNIVERSITYCountry: Turkey Publication Date: April 15, 2019
 Bibtex @research article { konuralpjournalmath515723, journal = {Konuralp Journal of Mathematics (KJM)}, issn = {}, eissn = {2147-625X}, address = {Mehmet Zeki SARIKAYA}, year = {2019}, volume = {7}, pages = {33 - 37}, doi = {}, title = {On Some Sequence Spaces Related to a Sequence in a Normed space}, key = {cite}, author = {Kama, Ramazan and Altay, Bilal} } APA Kama, R , Altay, B . (2019). On Some Sequence Spaces Related to a Sequence in a Normed space. Konuralp Journal of Mathematics (KJM), 7 (1), 33-37. Retrieved from http://dergipark.org.tr/konuralpjournalmath/issue/31492/515723 MLA Kama, R , Altay, B . "On Some Sequence Spaces Related to a Sequence in a Normed space". Konuralp Journal of Mathematics (KJM) 7 (2019): 33-37 Chicago Kama, R , Altay, B . "On Some Sequence Spaces Related to a Sequence in a Normed space". Konuralp Journal of Mathematics (KJM) 7 (2019): 33-37 RIS TY - JOUR T1 - On Some Sequence Spaces Related to a Sequence in a Normed space AU - Ramazan Kama , Bilal Altay Y1 - 2019 PY - 2019 N1 - DO - T2 - Konuralp Journal of Mathematics (KJM) JF - Journal JO - JOR SP - 33 EP - 37 VL - 7 IS - 1 SN - -2147-625X M3 - UR - Y2 - 2019 ER - EndNote %0 Konuralp Journal of Mathematics (KJM) On Some Sequence Spaces Related to a Sequence in a Normed space %A Ramazan Kama , Bilal Altay %T On Some Sequence Spaces Related to a Sequence in a Normed space %D 2019 %J Konuralp Journal of Mathematics (KJM) %P -2147-625X %V 7 %N 1 %R %U ISNAD Kama, Ramazan , Altay, Bilal . "On Some Sequence Spaces Related to a Sequence in a Normed space". Konuralp Journal of Mathematics (KJM) 7 / 1 (April 2019): 33-37. AMA Kama R , Altay B . On Some Sequence Spaces Related to a Sequence in a Normed space. Konuralp J. Math.. 2019; 7(1): 33-37. Vancouver Kama R , Altay B . On Some Sequence Spaces Related to a Sequence in a Normed space. Konuralp Journal of Mathematics (KJM). 2019; 7(1): 37-33.