P. Gomez PALACIO, M. J. RIVERA, J. A. Lopez MALINA

1610

Some Applications of the Lattice Finite Representability in Spaces of Measurable Functions

We study the lattice finite representability of the Bochner space Lp(m1,Lq(m2)) in \ellp{\ellq}, 1 \le p,q < \infty, and then we characterize the ideal of the operators which factor through a lattice homomorphism between L\infty(m) and Lp(m1,Lq(m2)).
Anahtar Kelimeler:

Integral operators, Ultraproducts of spaces and maps.

Some Applications of the Lattice Finite Representability in Spaces of Measurable Functions

We study the lattice finite representability of the Bochner space Lp(m1,Lq(m2)) in \ellp{\ellq}, 1 \le p,q < \infty, and then we characterize the ideal of the operators which factor through a lattice homomorphism between L\infty(m) and Lp(m1,Lq(m2)).
Keywords:

Integral operators, Ultraproducts of spaces and maps.,

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Turkish Journal of Mathematics-Cover
  • ISSN: 1300-0098
  • Yayın Aralığı: Yılda 6 Sayı
  • Yayıncı: TÜBİTAK
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