Holomorphy types and ideals of multilinear mappings

By G. Botelho, H. Braunss, H. Junek, Daniel Pellegrino. 2006

59 citations recorded by the source corpus.

We explore a condition under which the ideal of polynomials generated by an ideal of multilinear mappings between Banach spaces is a global holomorphy type. After some examples and applications, this condition is studied in its own right. A final section provides applications to the ideals formed by multilinear mappings and polynomials which are absolutely (p; q)-summing at every point.

Subfields: Algebra and Number Theory, Applied Mathematics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/636f969613f72ce35c4efe207c93d58e962ba1c4

Citations in the corpus

• Some techniques on nonlinear analysis and applications (2010, unknown): “For non-multilinear approaches we refer to [9, 34, 43, 44]).”