2-Quasi-l-Nuclear Maps

W. SHATANAWI

Makale detayları

2-Quasi-l-Nuclear Maps

Yazarlar:

W. SHATANAWI

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2005 Vol.29 Issue 2, pp.157-167

Belge Tipi:

Makale

Yayın Tarihi:

1/2005

Belge Dili:

Türkçe

Document ID (Org No.):

2000748676

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098

Anahtar kelimeler:

Özet:

 

In this paper we generalize the well-known result which says  that the composition of quasi-nuclear maps is nuclear.  More  precisely, we define what we call a 2-quasi-l -nuclear map  between normed spaces, and we prove that the composition of a  2-quasi-l -nuclear map with a quasi- l -nuclear map is a  pseudo-l -nuclear map.  Also, we prove that a quasi-l  -nuclear map is a 2-quasi-l -nuclear map.  For a nuclear  G\infty -space, we prove that a linear map T between normed spaces is  2-quasi-l -nuclear if and only if it is quasi-l -nuclear.

 

In this paper we generalize the well-known result which says  that the composition of quasi-nuclear maps is nuclear.  More  precisely, we define what we call a 2-quasi-l -nuclear map  between normed spaces, and we prove that the composition of a  2-quasi-l -nuclear map with a quasi- l -nuclear map is a  pseudo-l -nuclear map.  Also, we prove that a quasi-l  -nuclear map is a 2-quasi-l -nuclear map.  For a nuclear  G\infty -space, we prove that a linear map T between normed spaces is  2-quasi-l -nuclear if and only if it is quasi-l -nuclear.

Makale detayları

2-Quasi-l-Nuclear Maps

Yazarlar:

W. SHATANAWI

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2005 Vol.29 Issue 2, pp.157-167

Belge Tipi:

Makale

Yayın Tarihi:

1/2005

Belge Dili:

Türkçe

Document ID (Org No.):

2000748676

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098

Turk. J. Math.

29

(2005)

157-167. Full text: pdf Other articles published in the same issue: Turk. J. Math.

vol.29

iss.2.

Sayı

Makale detayları

2-Quasi-l-Nuclear Maps

Yazarlar: W. SHATANAWI

Yayıncı: TUBITAK

Dergi: Turkish Journal of Mathematics 2005 Vol.29 Issue 2, pp.157-167

Belge Tipi: Makale

Yayın Tarihi: 1/2005

Belge Dili: Türkçe

Document ID (Org No.): 2000748676

Sıklık: İki Aylık

eISSN: 1303-6149

pISSN: 1300-0098

Turk. J. Math.

29

(2005)

157-167. Full text: pdf Other articles published in the same issue: Turk. J. Math.

vol.29

iss.2.

Sayı

Yazarlar:

W. SHATANAWI

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2005 Vol.29 Issue 2, pp.157-167

Belge Tipi:

Makale

Yayın Tarihi:

1/2005

Belge Dili:

Türkçe

Document ID (Org No.):

2000748676

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098