The Some Ultranorm Spaces and Isomorphicity

Year 2020, Volume: 7 Issue: 1, 265 - 272, 28.06.2020

İbrahim Şanlıbaba

https://doi.org/10.35193/bseufbd.670679

Abstract

In this study metric spaces, ultrametric spaces, normed spaces and ultranormed spaces are introduced and their relations between each other and examples are shown. Isometry and ultra isometry are defined in ultranormed spaces. Then some example of ultra-normed spaces are given and it is shown to be ultra Banach space and is isomorphic.

Keywords

Ultrametric, Ultranorm, Krull Sharpening, Ultra Isometry, Ultra Banach Spaces

Bazı Ultranormlu Uzaylar ve İzomorfikliği

Abstract

Bu çalışmada metrik uzaylar, ultrametrik uzayları, normlu uzaylar ve ultranormlu uzaylar tanıtılıp aralarındaki ilişkiler ve örnekleri gösterildi. Ultranormlu uzaylarda izometri ve ultra izometri tanımları yapıldı. Sonra bazı ultranormlu uzaylara örnekler verilip ultra Banach uzay olduğu ve izomorfik olduğu gösterildi.

Keywords

Ultrametrik, Ultranorm, Krull Sharpening, Ultra izometri, Ultra Banach Spaces

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