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Article . 2013 . Peer-reviewed
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RUANG BARISAN SELISIH C0 Ξ”m ,C Ξ”m ,l∞ Ξ”m DAN lp Ξ”m

Authors: Hery Suharna;

RUANG BARISAN SELISIH C0 Ξ”m ,C Ξ”m ,l∞ Ξ”m DAN lp Ξ”m

Abstract

Ruang urutan sebagai salah satu konsep dalam analisis, membahas tentang urutan yang ruang urutan 𝑐0,𝑐 ,β„“βˆž and ℓ𝑝 1β‰€π‘β‰€βˆž . Beberapa hasil penelitian sebelumnya membuktikan bahwa ruang urutan 𝑐0,𝑐 ,β„“βˆž and ℓ𝑝 1β‰€π‘β‰€βˆž adalah ruang Banach, Solid dan BK-Ruang. Berdasarkan ilustrasi di atas, tesis ini akan membahas tentang perbedaan urutan ruang β„“βˆž Ξ”π‘š , 𝑐 Ξ”π‘š , 𝑐0 Ξ”π‘š dan ℓ𝑝 Ξ”π‘š untuk semua m ∈ N, adalah ruang Banach, Solid, BK-Ruang dan Pengoperasian dari perbedaan ruang urutan linear yang berkesinambungan. Metode yang digunakan dalam penelitian ini adalah dengan mempelajari dan bahan memeriksa tentang perbedaan urutan ruangβ„“βˆž Ξ”π‘š , 𝑐 Ξ”π‘š , 𝑐0 Ξ”π‘š dan ℓ𝑝 Ξ”π‘š untuk semua m ∈ N melalui karya ilmiah yang terkandung dalam sebuah publikasi dari jurnal yang sama dan buku teks yang mendukung. Hasil penelitian ini membuktikan bahwa perbedaan urutan spaces β„“βˆž Ξ”π‘š , 𝑐 Ξ”π‘š , 𝑐0 Ξ”π‘š dan ℓ𝑝 Ξ”π‘š untuk semua m ∈ N, adalah ruang Banach, Solid, BK-Ruang dan Pengoprasian dari perbedaan ruang urutan linear yang berkesinambungan. Kata Kunci : Ruang Norm, Solid, BK-Ruang (Banach Kontinyu) dan Operator Linear Kontinu Sequences spaces as one concept in analysis, discussing about sequences which are sequences spaces 𝑐0,𝑐 ,β„“βˆž and ℓ𝑝 1β‰€π‘β‰€βˆž . Some previous resecrhes han proved that sequences spaces 𝑐0,𝑐 ,β„“βˆž and ℓ𝑝 1β‰€π‘β‰€βˆž are Banach spaces, Solid and BK-Spaces. Based on illustration above, this thesis will discuss abouth differences sequences spaces β„“βˆž Ξ”π‘š , 𝑐 Ξ”π‘š , 𝑐0 Ξ”π‘š and ℓ𝑝 Ξ”π‘š for all π‘šβˆˆβ„•, are Banach spaces, Solid, BK-Spaces and and operator from the defferences sequences spaces is linear and continuous. The method that used in this thesis are by studying and examining materials about differences sequences spaces β„“βˆž Ξ”π‘š , 𝑐 Ξ”π‘š , 𝑐0 Ξ”π‘š and ℓ𝑝 Ξ”π‘š for all π‘šβˆˆβ„• through scientifit work which be contained in a publication of same journal and supporting text book. The result of this research proved that differences sequences spaces β„“βˆž Ξ”π‘š , 𝑐 Ξ”π‘š , 𝑐0 Ξ”π‘š and ℓ𝑝 Ξ”π‘š for all π‘šβˆˆβ„•, are Banach spaces, Solid, BK-Spaces and operator from the defferences sequences spaces is linear and continuous. Key words : Norm spaces, Solid, BK-Spaces (Banach Continuous) and Linear Continuous Operators

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Keywords

QA1-939, Education (General), L7-991, Mathematics

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
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