RT Book, Section
T1 Invariant measures with values in locally convex spaces. (Spanish: Medidas invariantes con valores en espacios localmente convexos)
A1 Bombal Gordón, Fernando
AB Let E be a locally compact space, and X a locally convex (real or complex) Hausdorff quasicompletevector space. Let μ0 be a positive Radon measure on E; corresponding to this measurethe author defines a certain measure μ on E with values on X. In the case in which E is a locallycompact topological group, and μ0 a left [right] Haar measure, μ is also a left [right] Haar measure.Let T:X !X be a continuous linear mapping, and μ a left [right] Haar measure on E with valueson X; then T ·μ is also a left [right] Haar measure. Conversely, let μ be a left [right] Haar measureon E with values on X, let   be any left [right] Haar measure on E with values on X; the authorproves that   = T · μ, where T:X ! X is a continuous linear mapping. This generalizes theknown theorem of H. Weyl on positive Haar measures.
PB Instituto Jorge Juan de Matemáticas
SN 8400039483
YR 1973
FD 1973
LK https://hdl.handle.net/20.500.14352/65429
UL https://hdl.handle.net/20.500.14352/65429
DS Docta Complutense
RD 4 may 2024