On Characterizations of the Space of <i>p</i>-Semi-Integral Multilinear Mappings

Çalişkan E.

NOTE DI MATEMATICA, sa.1, ss.165-184, 2009 (ESCI) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Basım Tarihi: 2009
  • Doi Numarası: 10.1285/i15900932v29n1p165
  • Dergi Adı: NOTE DI MATEMATICA
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus
  • Sayfa Sayıları: ss.165-184
  • Anahtar Kelimeler: Ρ-semi integral multilinear mappings, Tensor product of Banach spaces
  • İstanbul Üniversitesi Adresli: Hayır

Özet

In this paper we consider the ideal of p-semi-integral n-linear mappings, which is a natural multilinear extension of the ideal of p-summing linear operators. The space of p-semi-integral multilinear mappings is characterized by means of a suitable tensor norm up to an isometric isomorphism. In this connection we also consider tensor products of linear operators and multilinear mappings of finite type.