Andreas Defant, "Classical Summation in Commutative and Noncommutative Lp-Spaces"
2011 | ISBN-10: 3642204376 | 184 pages | PDF | 1 MB
2011 | ISBN-10: 3642204376 | 184 pages | PDF | 1 MB
The aim of this research is to develop a systematic scheme that makes it possible to transform important parts of the by now classical theory of summation of general orthonormal series into a similar theory for series in noncommutative $ L_p$ -spaces constructed over a noncommutative measure space (a von Neumann algebra of operators acting on a Hilbert space together with a faithful normal state on this algebra).