Products and factors of Banach function spaces

By A. R. Schep. 2008

67 citations recorded by the source corpus.

Given two Banach function spaces we study the pointwise product space E · F, especially for the case that the pointwise product of their unit balls is again convex. We then give conditions on when the pointwise product E · M(E, F) = F, where M(E, F) denotes the space of multiplication operators from E into F.

Subfields: Applied Mathematics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/a0b12d7c52686d0b641ac59c8ea835e6e5ce2b42

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

1. Karol Le'snik
2. P. Kolwicz
3. Lech Maligranda

In Mathematical Physics

1. Karol Le'snik
2. P. Kolwicz
3. Lech Maligranda

Citations in the corpus

• Pointwise multipliers of Calderón‐Lozanovskiǐ spaces (2013, background): “This theorem can be generalized to the form F = E · M(E,F ) under some assumptions on the spaces (see [35], [39]).”
• Pointwise products of some Banach function spaces and factorization (2012, methodology): “We say that E is F -perfect if M(M(E,F),F ) ≡ E (see [66,14,86] for more information about F -perfectness).”