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Cohen and multiple Cohen strongly summing multilinear operators
Authors:Jamilson R Campos
Institution:Departamento de Ciências Exatas, Universidade Federal da Paraíba – Campus IV, Rio Tinto, Brazil.
Abstract:Considering the successful theory of multiple summing multilinear operators as a prototype, we introduce the classes of multiple Cohen strongly p-summing multilinear operators and polynomials. The adequacy of these classes under the viewpoint of the theory of multilinear and polynomial ideals and holomorphy types is discussed in detail.
Keywords:Cohen strongly p-summing operators  full general Pietsch Domination theorem  operator ideals  ideal of polynomials
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