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This Ph.D. dissertation mainly focuses on three multilinear problems and itsaimistodescribe analytical and topological techniques that we found useful to tackle these problems. The first problem comes from Quantum Information theory, it is the s[...]texto impreso
Let X be a sequence space and denote by Z(X) the subset of X formed by sequences having only a finite number of zero coordinates. We study algebraic properties of Z(X) and show (among other results) that (for p is an element of [1, infinity]) Z([...]texto impreso
Botelho, Geraldo ; Cariello, Daniel ; Favaro, Vinicius V. ; Pellegrino, Daniel ; Seoane-Sepúlveda, Juan B. | Polish Acad Sciencies Inst Mathematics | 2013Let (Omega, Sigma, mu) be a measure space and 1texto impreso
Botelho, G. ; Cariello, Daniel ; Pellegrino, D. ; Seoane-Sepúlveda, Juan B. | Oxford University Press | 2014In this paper we continue the study initiated by Gurariy and Quarta in 2004 on the existence of linear spaces formed, up to the null vector, by continuous functions that attain the maximum only at one point. Inserting a topological flavor to the[...]
