Hyperbolic geometry on noncommutative balls
Documenta mathematica, Tome 14 (2009), pp. 595-651
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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
Gelu Popescu. Hyperbolic geometry on noncommutative balls. Documenta mathematica, Tome 14 (2009), pp. 595-651. doi: 10.4171/dm/283
@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/}
}
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