Lipschitz Operators Associated with Weakly $p$-Compact and Unconditionally $p$-Compact Sets

Ayşegül Keten Çopur; Ramazan İnal

Makale detayları

Lipschitz Operators Associated with Weakly $p$-Compact and Unconditionally $p$-Compact Sets

Yazarlar:

Ayşegül Keten Çopur | Ramazan İnal

Yayıncı:

Çanakkale Onsekiz Mart University

Ana Başlıklar:

Operator Algebras and Functional Analysis

Dergi:

Journal of Advanced Research in Natural and Applied Sciences Vol.10 Issue 3, pp.530-541

Belge Tipi:

Makale

Yayın Tarihi:

9/2024

Belge Dili:

İngilizce

Document ID (Org No.):

2001328942

pISSN:

2757-5195

Anahtar kelimeler:

Özet:

 The study introduces different categories of Lipschitz operators linked with weakly p-compact and unconditionally p-compact sets. It explores some properties of these operator classes derived from linear operators associated with these sets and examines their interconnections. Additionally, it denotes that these classes are extensions of the related linear operators. Moreover, the study evaluates the concept of majorization by scrutinizing both newly obtained and pre-existing results and draws some conclusions based on these findings. The primary method used to obtain the results in the study is the linearization of Lipschitz operators through the Lipschitz-free space constructed over a pointed metric space.

 The study introduces different categories of Lipschitz operators linked with weakly p-compact and unconditionally p-compact sets. It explores some properties of these operator classes derived from linear operators associated with these sets and examines their interconnections. Additionally, it denotes that these classes are extensions of the related linear operators. Moreover, the study evaluates the concept of majorization by scrutinizing both newly obtained and pre-existing results and draws some conclusions based on these findings. The primary method used to obtain the results in the study is the linearization of Lipschitz operators through the Lipschitz-free space constructed over a pointed metric space.

 The study introduces different categories of Lipschitz operators linked with weakly p-compact and unconditionally p-compact sets. It explores some properties of these operator classes derived from linear operators associated with these sets and examines their interconnections. Additionally, it denotes that these classes are extensions of the related linear operators. Moreover, the study evaluates the concept of majorization by scrutinizing both newly obtained and pre-existing results and draws some conclusions based on these findings. The primary method used to obtain the results in the study is the linearization of Lipschitz operators through the Lipschitz-free space constructed over a pointed metric space.

 The study introduces different categories of Lipschitz operators linked with weakly p-compact and unconditionally p-compact sets. It explores some properties of these operator classes derived from linear operators associated with these sets and examines their interconnections. Additionally, it denotes that these classes are extensions of the related linear operators. Moreover, the study evaluates the concept of majorization by scrutinizing both newly obtained and pre-existing results and draws some conclusions based on these findings. The primary method used to obtain the results in the study is the linearization of Lipschitz operators through the Lipschitz-free space constructed over a pointed metric space.

Makale detayları

Lipschitz Operators Associated with Weakly $p$-Compact and Unconditionally $p$-Compact Sets

Yazarlar:

Ayşegül Keten Çopur | Ramazan İnal

Yayıncı:

Çanakkale Onsekiz Mart University

Ana Başlıklar:

Operator Algebras and Functional Analysis

Dergi:

Journal of Advanced Research in Natural and Applied Sciences Vol.10 Issue 3, pp.530-541

Belge Tipi:

Makale

Yayın Tarihi:

9/2024

Belge Dili:

İngilizce

Document ID (Org No.):

2001328942

pISSN:

2757-5195

Lipschitz compact operator

Lipschitz $p$-compact operator

Lipschitz weakly $p$-compact operator

Lipschitz unconditionally $p$-compact operator

majorization

Sayı

Makale detayları

Lipschitz Operators Associated with Weakly $p$-Compact and Unconditionally $p$-Compact Sets

Yazarlar: Ayşegül Keten Çopur | Ramazan İnal

Yayıncı: Çanakkale Onsekiz Mart University

Ana Başlıklar: Operator Algebras and Functional Analysis

Dergi: Journal of Advanced Research in Natural and Applied Sciences Vol.10 Issue 3, pp.530-541

Belge Tipi: Makale

Yayın Tarihi: 9/2024

Belge Dili: İngilizce

Document ID (Org No.): 2001328942

pISSN: 2757-5195

Lipschitz compact operator

Lipschitz $p$-compact operator

Lipschitz weakly $p$-compact operator

Lipschitz unconditionally $p$-compact operator

majorization

Sayı

Yazarlar:

Ayşegül Keten Çopur | Ramazan İnal

Yayıncı:

Çanakkale Onsekiz Mart University

Ana Başlıklar:

Operator Algebras and Functional Analysis

Dergi:

Journal of Advanced Research in Natural and Applied Sciences Vol.10 Issue 3, pp.530-541

Belge Tipi:

Makale

Yayın Tarihi:

9/2024

Belge Dili:

İngilizce

Document ID (Org No.):

2001328942

pISSN:

2757-5195