Generated Inner Products

---

Thesis Type: Postgraduate

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

Approval Date: 2019

Thesis Language: Turkish

Student: EZGİ DENİZOĞLU

Supervisor: CÜNEYT ÇEVİK

Abstract:

In this study, transformations, which are equivalent to real numbers with a generator, are called the inner products which are valued and produced in sequential objects. Based on this de nition, the main characteristics of the inner product spaces produced as an expansion of the classical inner product space theory were investigated. The vector spaces produced according to the selected generators and the inner product spaces produced were examined and the di erences between the new concepts were revealed and some results were given on these concepts. It has been shown that the structure of the inner product spaces produced determines the characteristics of the operators