On The Duality Problem for the ppp-Compact Approximation Property and Its Inheritance to Subspaces

Ayşegül KETEN

Makale detayları

On The Duality Problem for the ppp-Compact Approximation Property and Its Inheritance to Subspaces

Yazarlar:

Ayşegül KETEN

Yayıncı:

Mehmet Zeki SARIKAYA

Ana Başlıklar:

Uygulamalı fizik

Dergi:

Konuralp Journal of Mathematics 2019 Vol.7 Issue 2, pp.399-404

Belge Tipi:

Makale

Yayın Tarihi:

10/2019

Belge Dili:

İngilizce

Document ID (Org No.):

2000535893

Sıklık:

İki Yıllık

eISSN:

2147-625X

Özet:

 


In this paper, for 1<p<∞1<p<∞1<p<\infty we define the vpvpv_p and v∗pvp∗v_{p}^{*}-topologies on the space of bounded linear operators between Banach spaces, and by way of these topologies we introduce the properties v∗pDvp∗Dv_{p}^{*}\text D and Bv∗pDBvp∗D\text Bv_{p}^{*}\text D for the dual space E′E′E^{'}. Under the assumption of the property v∗pDvp∗Dv_{p}^{*}\text D  on the dual space E′E′E^{'}, we obtain a solution of the duality problem for the ppp-CAP with 2<p<∞2<p<∞2<p<\infty. We show that, if MMM is a closed subspace of a Banach space EEE such that M⊥M⊥M^{\perp} is complemented in the dual space E′E′E^{'}, then MMM has the ppp-CAP (respectively, BCAP) whenever EEE has the ppp-CAP (respectively, BCAP) and the dual space M′M′M^{'} has the v∗pDvp∗Dv_{p}^{*}\text D (respectively, Bv∗pDBvp∗D\text Bv_{p}^{*}\text D).

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Makale detayları

On The Duality Problem for the ppp-Compact Approximation Property and Its Inheritance to Subspaces

Yazarlar: Ayşegül KETEN

Yayıncı: Mehmet Zeki SARIKAYA

Ana Başlıklar: Uygulamalı fizik

Dergi: Konuralp Journal of Mathematics 2019 Vol.7 Issue 2, pp.399-404

Belge Tipi: Makale

Yayın Tarihi: 10/2019

Belge Dili: İngilizce

Document ID (Org No.): 2000535893

Sıklık: İki Yıllık

eISSN: 2147-625X

Sayı

Yazarlar:

Ayşegül KETEN

Yayıncı:

Mehmet Zeki SARIKAYA

Ana Başlıklar:

Uygulamalı fizik

Dergi:

Konuralp Journal of Mathematics 2019 Vol.7 Issue 2, pp.399-404

Belge Tipi:

Makale

Yayın Tarihi:

10/2019

Belge Dili:

İngilizce

Document ID (Org No.):

2000535893

Sıklık:

İki Yıllık

eISSN:

2147-625X