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A New Outlook for Almost Convergent Sequence Spaces
Author(s) -
Murat Candan
Publication year - 2018
Publication title -
cumhuriyet science journal
Language(s) - Turkish
Resource type - Journals
eISSN - 2587-246X
pISSN - 2587-2680
DOI - 10.17776/csj.383311
Subject(s) - sequence (biology) , mathematics , banach space , sequence space , interpolation space , matrix (chemical analysis) , lorentz transformation , limit of a sequence , space (punctuation) , pure mathematics , domain (mathematical analysis) , lorentz space , combinatorics , functional analysis , mathematical analysis , computer science , physics , limit (mathematics) , biochemistry , chemistry , genetics , materials science , classical mechanics , gene , composite material , biology , operating system
Banach limiti (Acta.  Math.  80.  1948, 167-190) kavramini kullanarak G.G. Lorentz hemen hemen yakinsak dizilerin  uzayini tanimladi. Bu calismada one cikan nokta ,  ve  uzaylarinin  Candan [2] tarafindan tanimlanan  matris etki alaninda olan ,  ve  uzaylarini tanimlamaktir. Burada ikili dizisel band matrisi de genellestirilmis agirlikli ortalamayi gostermektedir. Calismada oncelikle ,  ve uzaylarinin sirasi ile ,  ve uzaylarina lineer izomorf olduklari gosterildikten sonra  ve uzaylarinin sirasi ile ve dualleri elde edilmistir. Son bolumde de verilen herhangi bir dizi uzayi olmak uzere  ve  matris siniflarinin karekterizasyonu verilmistir.

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