Premium
Eigenvalues and stability properties of multiplication operators and multiplication semigroups
Author(s) -
Heymann Retha
Publication year - 2014
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.201300046
Subject(s) - mathematics , pointwise , multiplication (music) , eigenvalues and eigenvectors , pure mathematics , banach space , stability (learning theory) , semigroup , pointwise convergence , discrete mathematics , mathematical analysis , combinatorics , physics , quantum mechanics , machine learning , computer science , approx , operating system
We investigate uniform, strong, weak and almost weak stability of multiplication semigroups on Banach space‐valued L p ‐spaces. We show that, under certain conditions, these properties can be characterised by analogous ones of the pointwise semigroups. We prove a spectral mapping theorem for the point spectra of the pointwise and global semigroups and apply this as a major tool for determining almost weak stability.
Accelerating Research
Robert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom
Address
John Eccles HouseRobert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom