Premium
Pseudospectra of semigroup generators
Author(s) -
Shargorodsky E.
Publication year - 2010
Publication title -
bulletin of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.396
H-Index - 48
eISSN - 1469-2120
pISSN - 0024-6093
DOI - 10.1112/blms/bdq062
Subject(s) - mathematics , semigroup , resolvent , banach space , regular polygon , pure mathematics , generator (circuit theory) , hilbert space , norm (philosophy) , uniformly convex space , infinitesimal , discrete mathematics , mathematical analysis , banach manifold , lp space , power (physics) , physics , geometry , quantum mechanics , political science , law
It is proved that the resolvent norm of the infinitesimal generator of a C 0 semigroup on a complex uniformly convex Banach space cannot be constant on a nonempty open set. In the case of Hilbert spaces, this result answers a question posed by J. R. Partington.