Hyperbolic geometry on noncommutative balls
Documenta mathematica, Tome 14 (2009), pp. 595-651
In this paper, we study the noncommutative balls
Classification :
32Q45, 46L52, 46T25, 47A20, 47A56
Mots-clés : Fock space, noncommutative hyperbolic geometry, noncommutative function theory, Harnack part, hyperbolic distance, carath´, eodory distance, free holomorphic function, free pluriharmonic function, creation operator, joint operator radius, joint numerical radius, joint spectral radius, von Neumann inequality, Schwarz lemma
Mots-clés : Fock space, noncommutative hyperbolic geometry, noncommutative function theory, Harnack part, hyperbolic distance, carath´, eodory distance, free holomorphic function, free pluriharmonic function, creation operator, joint operator radius, joint numerical radius, joint spectral radius, von Neumann inequality, Schwarz lemma
@article{10_4171_dm_283,
author = {Gelu Popescu},
title = {Hyperbolic geometry on noncommutative balls},
journal = {Documenta mathematica},
pages = {595--651},
year = {2009},
volume = {14},
doi = {10.4171/dm/283},
url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/283/}
}
Gelu Popescu. Hyperbolic geometry on noncommutative balls. Documenta mathematica, Tome 14 (2009), pp. 595-651. doi: 10.4171/dm/283
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