Abstract
We repeat and extend our program from the second chapter within the setting of symmetric spaces E(M, \(\tau\)) of operators build over semifinite integration spaces (M, \(\tau\)) (a von Neumann algebra, M together with a normal, faithful and semifinite trace \(\tau\)) and symmetric Banach function spaces E (realized in L0[0, 1))). Most of this material developed from the ideas given in [7].
Keywords
- Symmetric Space
- Convergent Series
- Maximal Inequality
- Banach Function Space
- Commutative Case
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© 2011 Springer-Verlag Berlin Heidelberg
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Defant, A. (2011). Noncommutative Theory. In: Classical Summation in Commutative and Noncommutative L<sub>p</sub>-Spaces. Lecture Notes in Mathematics(), vol 2021. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-20438-8_3
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DOI: https://doi.org/10.1007/978-3-642-20438-8_3
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Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-20437-1
Online ISBN: 978-3-642-20438-8
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