Fully absolutely summing and Hilbert-Schmidt multilinear mappings

By M. Matos. 2003

145 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/8df9b816622c61e4e9698382917fe5942cc3b270

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Citations in the corpus

Multiple summing maps: Coordinatewise summability, inclusion theorems and p-Sidon sets (2017, methodology): “Following [8] and [17], for r ≥ 1 and p = (p1, .”
Multiple summing operators on Banach spaces (2003, background): “Remark 3.2. In [ 11 ] and independently, Matos defines a quasi-norm p in X1··· Xn Y such that (X1··· Xn Y, p) = n p(X1,...,Xn;Y ).”
On the Cohen strongly p-summing multilinear operators (2007, background): “There are many definitions generalizing the notion of summability to multilinear operators; the definitions of absolutely p-summing, r-dominated and strongly p-summing multilinear operators (there are also other definitions such as the class of the multiple p-summing multilinear operators, see [3,12”
Ideals of polynomials generated by weakly compact operators (2006, unknown): “The equivalences between the conditions (a), (b), (c), (d) and (e) can be found in Matos [66, Proposition 2.4].”
Summation of coefficients of polynomials on $\ell_{p}$ spaces (2013, unknown): “[17, 6]) if there is K > 0 such that for every ( x ( j ) i j )N j i j=1 ⊆ X j , for j = 1, .”
Comparing different classes of absolutely summing multilinear operators (2005, background): “This is the case of weakly compact, completely continuous and unconditional converging operators ([3], [5], [24], [25], [29], [34], [35] or [49]), the case of integral and nuclear operators ([1], [8], [12], [18] or [50]) and the case of Hilbert-Schmidt operators ([13], [20] or [ 31 ]).”