TY  - JOUR
A1  - de Azevedo Botelho, Geraldo Mßrcio
A1  - Braunss, H. A.
A1  - Junek, Heinz
A1  - Pellegrino, Daniel Marinho
T1  - Inclusions and coincidences for multiple summing multilinear mappings
N2  - Using complex interpolation we prove new inclusion and coincidence theorems for multiple (fully) summing multilinear and holomorphic mappings. Among several other results we show that continuous n- linear forms on cotype 2 spaces are multiple (2; q(k),..., q(k))-summing, where 2(k-1) < n <= 2(k), q(0) = 2 and q(k+1) = 2q(k)/1+q(k) for k >= 0.
Y1  - 2009
UR  - http://www.ams.org/publications/journals/journalsframework/proc
SN  - 0002-9939
ER  - 
TY  - JOUR
A1  - Junek, Heinz
A1  - Braunß, Hans-Andreas
A1  - Botelho, Geraldo
T1  - Almost p-summing polynomials and multilinear mappings
N2  - For several applications it is very useful to classify the linear or non-linear mappings by their summability properties. Absolutely summing operators and polynomials are prominent and classical examples of such setting. Here we are interested in the larger class of almost summing polynomials and we investigate their connections to other related notions of summability.
Y1  - 2001
ER  -