On Pairs of l-Köthe Spaces

Erdal KARAPINAR

Makale detayları

On Pairs of l-Köthe Spaces

Yazarlar:

Erdal KARAPINAR

Yayıncı:

Hacettepe University

Ana Başlıklar:

Analiz

Dergi:

Hacettepe Journal of Mathematics and Statistics 2010 Vol.39 Issue 3, pp.337-349

Belge Tipi:

Makale

Yayın Tarihi:

2/2010

Belge Dili:

İngilizce

Document ID (Org No.):

2000453692

Sıklık:

İki Aylık

eISSN:

2651-477X

pISSN:

2651-477X

Özet:

 

Let ℓ be a Banach sequence space with a monotone norm k · kℓ, inwhich the canonical system (ei) is a normalized unconditional basis.Let a = (ai), ai → ∞, λ = (λi) be sequences of positive numbers. Westudy the problem on isomorphic classification of pairsF =Kℓexp −1pai, Kℓexp −1pai + λi.For this purpose, we consider the sequence of so-called m-rectanglecharacteristics µFm. It is shown that the system of all these characteristics is a complete quasidiagonal invariant on the class of pairs offinite-type ℓ-power series spaces. By using analytic scale and a modification of some invariants (modified compound invariants) it is proventhat m-rectangular characteristics are invariant on the class of suchpairs. Deriving the characteristic βe from the characteristic β, and using the interpolation method of analytic scale, we are able to generalizesome results of Chalov, Dragilev, and Zahariuta (Pair of finite typepower series spaces, Note di Mathematica 17, 121–142, 1997).

Makale detayları

On Pairs of l-Köthe Spaces

Yazarlar: Erdal KARAPINAR

Yayıncı: Hacettepe University

Ana Başlıklar: Analiz

Dergi: Hacettepe Journal of Mathematics and Statistics 2010 Vol.39 Issue 3, pp.337-349

Belge Tipi: Makale

Yayın Tarihi: 2/2010

Belge Dili: İngilizce

Document ID (Org No.): 2000453692

Sıklık: İki Aylık

eISSN: 2651-477X

pISSN: 2651-477X

Sayı

Yazarlar:

Erdal KARAPINAR

Yayıncı:

Hacettepe University

Ana Başlıklar:

Analiz

Dergi:

Hacettepe Journal of Mathematics and Statistics 2010 Vol.39 Issue 3, pp.337-349

Belge Tipi:

Makale

Yayın Tarihi:

2/2010

Belge Dili:

İngilizce

Document ID (Org No.):

2000453692

Sıklık:

İki Aylık

eISSN:

2651-477X

pISSN:

2651-477X