Operators Between Generated Normed Spaces

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Thesis Type: Postgraduate

Institution Of The Thesis: Gazi Üniversitesi, Fen Bilimleri Enstitüsü, Turkey

Approval Date: 2019

Student: NAZLI BÜŞRA YILMAZ

Supervisor: CÜNEYT ÇEVİK

Abstract:

Operators between any two spaces obtained with the help of norms with valued in the ordered elds are considered. The linearity, boundedness and norms of these operators are dened according to the selected generators. Some conclusions are given on these concepts. The algebraic and topological concepts of operators between any two vector spaces are directly related to generated norms of these spaces according to some selected generators. The structure of generated norms determines the characteristics of operators.