Some geometric properties on Orlicz spaces endowed with p-amemiya norm
2021
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Danışman: Prof. Dr. Serap Öztop Kaptanoğlu
Özet (EN)
This thesis has two main purposes. The first aim is to introduce the p-Amemiya norm family ( 1 ≤ p ≤ ∞ ) on Orlicz spaces, which are examples of modular spaces, and to classify the parameters at which the norms attain their infimums. The second aim is to examine geometric properties such as extreme points and rotundity in Orlicz spaces with respect to p-Amemiya norms, which are studied with respect to Luxemburg and Orlicz norms. In this thesis the geometric properties examined in the article [5] are considered and compared in a unified manner on Orlicz spaces and their proofs are given in detail.
Yazar
Dr. Badik Hüseyin Uysal
Kurum
Bu Yayına Nasıl Atıf Yapılır
Badik Hüseyin Uysal (Master Thesis). Some geometric properties on Orlicz spaces endowed with p-amemiya norm, 2021, İstanbul University.
Anahtar Kelimeler
Lisans
Tüm Hakları Saklıdır
Bu eser belirtilen lisans koşulları altında paylaşılmaktadır.
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