3 citations · 7 across the 6 of their papers we have counts for
6 papers
New inclusion and coincidence theorems for summing multilinear mappings
G. Botelho, C. Michels, D. Pellegrino
In this paper we obtain new inclusion and coincidence theorems for absolutely or multiple summing multilinear mappings. In particular, we derive optimal coincidence theorems of Boh…
Summing inclusion maps between symmetric sequence spaces
Andreas Defant, Mieczysław Mastyło, Carsten Michels
We prove a substantial extension of a well-known result due to Bennett and Carl: The inclusion of a 2-concave symmetric Banach sequence space E into l_2 is (E,1)-summing, i.e. for…
Complex interpolation of spaces of operators on l_1
Andreas Defant, Carsten Michels
Within the theory of complex interpolation and theta-Hilbert spaces we extend classical results of Kwapien on absolutely (r,1)-summing operators on l_1 with values in l_p as well a…
Λ(p)-sets and the limit order of operator ideals
Carsten Michels
Given an infinite set Λof characters on a compact abelian group we show that Λis a Λ(p)-set for all p>2 if and only if the limit order of the ideal of all Λ-summing operators coinc…
A complex interpolation formula for tensor products of vector-valued Banach function spaces
Andreas Defant, Carsten Michels
We prove a complex interpolation formula for the injective tensor product of vector-valued Banach function spaces satisfying certain geometric assumptions. This result unifies resu…
Bennett-Carl inequalities for symmetric Banach sequence spaces and unitary ideals
Andreas Defant, Carsten Michels
We prove an abstract interpolation theorem which interpolates the (r,2)-summing and (s,2)-mixing norm of a fixed operator in the image and the range space. Combined with interpolat…