A few remarks on boundedness in topological modules and topological groups

Omid ZABETİ

Makale detayları

A few remarks on boundedness in topological modules and topological groups

Yazarlar:

Omid ZABETİ

Yayıncı:

Hacettepe University

Ana Başlıklar:

Matematik

Dergi:

Hacettepe Journal of Mathematics and Statistics 2019 Vol.48 Issue 2, pp.420-426

Belge Tipi:

Makale

Yayın Tarihi:

3/2019

Belge Dili:

İngilizce

Document ID (Org No.):

2000451581

Sıklık:

İki Aylık

eISSN:

2651-477X

pISSN:

2651-477X

Özet:

 

Let XXX, YYY, and ZZZ be  topological modules over a topological ring RRR. In the first part of the paper, we introduce three different classes of bounded bigroup homomorphisms from X×YX×YX\times Y into ZZZ with respect to the three different uniform convergence topologies. We show that these spaces form again topological modules over RRR. In the second part, we characterize bounded sets in the arbitrary product of topological groups with respect to the both product and box topologies.

Makale detayları

A few remarks on boundedness in topological modules and topological groups

Yazarlar: Omid ZABETİ

Yayıncı: Hacettepe University

Ana Başlıklar: Matematik

Dergi: Hacettepe Journal of Mathematics and Statistics 2019 Vol.48 Issue 2, pp.420-426

Belge Tipi: Makale

Yayın Tarihi: 3/2019

Belge Dili: İngilizce

Document ID (Org No.): 2000451581

Sıklık: İki Aylık

eISSN: 2651-477X

pISSN: 2651-477X

Sayı

Yazarlar:

Omid ZABETİ

Yayıncı:

Hacettepe University

Ana Başlıklar:

Matematik

Dergi:

Hacettepe Journal of Mathematics and Statistics 2019 Vol.48 Issue 2, pp.420-426

Belge Tipi:

Makale

Yayın Tarihi:

3/2019

Belge Dili:

İngilizce

Document ID (Org No.):

2000451581

Sıklık:

İki Aylık

eISSN:

2651-477X

pISSN:

2651-477X