The Class of Demi-Strongly Order Bounded Operators

Gül Sinem Keleş; Birol Altın

Makale detayları

The Class of Demi-Strongly Order Bounded Operators

Yazarlar:

Gül Sinem Keleş | Birol Altın

Yayıncı:

Sakarya University

Ana Başlıklar:

Pure Mathematics (Other)

Dergi:

Sakarya University Journal of Science Vol.28 Issue 2, pp.364-370

Belge Tipi:

Makale

Yayın Tarihi:

4/2024

Belge Dili:

İngilizce

Document ID (Org No.):

2001315410

pISSN:

2147-835X

Anahtar kelimeler:

Özet:

 In this paper, we introduce the class of demi-strongly order bounded operators on a Riesz space generalization of strongly order bounded operators. Let M be a Riesz space, an operator H from M into M is said to be a demi-strongly order bounded operator if for every net u_α in M whenever 0u_α u,u in M and u_α-Hu_α  is order bounded in M, then u_α is order bounded in M. We obtain a characterization of the b-property by the term of demi-strongly order bounded operators. In addition, we study the relationship between strongly order bounded operators and demi-strongly order bounded operators. Finally, we also investigate some properties of the class of demi-strongly order bounded operators.

 In this paper, we introduce the class of demi-strongly order bounded operators on a Riesz space generalization of strongly order bounded operators. Let M be a Riesz space, an operator H from M into M is said to be a demi-strongly order bounded operator if for every net u_α in M whenever 0u_α u,u in M and u_α-Hu_α  is order bounded in M, then u_α is order bounded in M. We obtain a characterization of the b-property by the term of demi-strongly order bounded operators. In addition, we study the relationship between strongly order bounded operators and demi-strongly order bounded operators. Finally, we also investigate some properties of the class of demi-strongly order bounded operators.

 In this paper, we introduce the class of demi-strongly order bounded operators on a Riesz space generalization of strongly order bounded operators. Let M be a Riesz space, an operator H from M into M is said to be a demi-strongly order bounded operator if for every net u_α in M whenever 0u_α u,u in M and u_α-Hu_α  is order bounded in M, then u_α is order bounded in M. We obtain a characterization of the b-property by the term of demi-strongly order bounded operators. In addition, we study the relationship between strongly order bounded operators and demi-strongly order bounded operators. Finally, we also investigate some properties of the class of demi-strongly order bounded operators.

 In this paper, we introduce the class of demi-strongly order bounded operators on a Riesz space generalization of strongly order bounded operators. Let M be a Riesz space, an operator H from M into M is said to be a demi-strongly order bounded operator if for every net u_α in M whenever 0u_α u,u in M and u_α-Hu_α  is order bounded in M, then u_α is order bounded in M. We obtain a characterization of the b-property by the term of demi-strongly order bounded operators. In addition, we study the relationship between strongly order bounded operators and demi-strongly order bounded operators. Finally, we also investigate some properties of the class of demi-strongly order bounded operators.

Makale detayları

The Class of Demi-Strongly Order Bounded Operators

Yazarlar:

Gül Sinem Keleş | Birol Altın

Yayıncı:

Sakarya University

Ana Başlıklar:

Pure Mathematics (Other)

Dergi:

Sakarya University Journal of Science Vol.28 Issue 2, pp.364-370

Belge Tipi:

Makale

Yayın Tarihi:

4/2024

Belge Dili:

İngilizce

Document ID (Org No.):

2001315410

pISSN:

2147-835X

Riesz Space

Strongly Order Bounded Operator

b-property

Pre-regular Operator

Sayı

Makale detayları

The Class of Demi-Strongly Order Bounded Operators

Yazarlar: Gül Sinem Keleş | Birol Altın

Yayıncı: Sakarya University

Ana Başlıklar: Pure Mathematics (Other)

Dergi: Sakarya University Journal of Science Vol.28 Issue 2, pp.364-370

Belge Tipi: Makale

Yayın Tarihi: 4/2024

Belge Dili: İngilizce

Document ID (Org No.): 2001315410

pISSN: 2147-835X

Riesz Space

Strongly Order Bounded Operator

b-property

Pre-regular Operator

Sayı

Yazarlar:

Gül Sinem Keleş | Birol Altın

Yayıncı:

Sakarya University

Ana Başlıklar:

Pure Mathematics (Other)

Dergi:

Sakarya University Journal of Science Vol.28 Issue 2, pp.364-370

Belge Tipi:

Makale

Yayın Tarihi:

4/2024

Belge Dili:

İngilizce

Document ID (Org No.):

2001315410

pISSN:

2147-835X