On the Hadamard sequence spaces \(h^p(X)\) and the \(p\)-summing operators (Q493329)

In this interesting paper, we find the answer to some open questions concerning the Hadamard sequence space. Also, the authors present and study the concept of \(p\)-\(HH\)-summing operators between arbitrary Banach spaces similar to the definition of \(p\)-summing operators, but this new definition is given by using the \(p\)-\(HH\)-norms related to the Hadamard sequence space. Finally, we find a large study about the connection between the notion of set-valued \(p\)-summing operators and \(p\)-\(HH\)-summing operators.