Open AccessAn extension of a theorem of Domar on invariant subspaces
Author(s) -
Eva A. GallardoGutiérrez,
J. R. Partington,
Daniel J. Rodríguez
Publication year - 2017
Publication title -
acta scientiarum mathematicarum
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.386
H-Index - 15
eISSN - 0324-5462
pISSN - 0001-6969
DOI - 10.14232/actasm-015-837-7
Subject(s) - linear subspace , mathematics , invariant (physics) , semigroup , pure mathematics , invariant subspace , discrete mathematics , mathematical physics
A remarkable theorem of Domar asserts that the lattice of the invariant subspaces of the right shift semigroup {S-tau}(tau >= 0) in L-2 (R+, w(t)dt) consists of just the " standard invariant subspaces" whenever w is a positive continuous function in R+ such that
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