A note on the concept of factorable strongly p-summing operators

作者：Popa Dumitru^*

来源：Revista de la Real Academia de Ciencias Exactas Fisicas y Naturales Serie A-Matematicas, 2017, 111(2): 465-471.

DOI：10.1007/s13398-016-0307-1

• Absolutely summing operators
• Strongly summing multilinear mappings
• Nuclear operators
• Projective tensor product

It is known that an n-homogeneous polynomial is factorable strongly p-summing if and only if its linearization is absolutely p-summing. We prove that a similar result holds for n-linear operators and, as a consequence, we present simplified proofs of recent results from Pellegrino et al. (Rev R Acad Cienc Exactas Fis Nat Ser A Mat RACSAM 110(1): 285302, 2016). Using this connection and the well-known results of the classical linear theory of absolutely p-summing operators we prove other properties for this class of multilinear operators.

• 出版日期2017-4