Premium
An infinite dimensional functional calculus in Banach algebras with a modulus
Author(s) -
Dineen Séan,
Harte Robin,
Rivera Maria J.
Publication year - 2008
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.200510593
Subject(s) - mathematics , tensor product , functional calculus , norm (philosophy) , pure mathematics , modulus , banach space , modulus of continuity , algebra over a field , type (biology) , geometry , political science , law , ecology , biology
The presence of a modulus function on a Banach algebra gives rise to tensor product norms analogous to the greatest cross‐norm and allows us to extend the Waelbroeck functional calculus. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)