Geodesic
A dual characterization of length spaces with application to Dirichlet metric spaces
Peter Stollmann1
1Fakultät für Mathematik Technische Universität 09107 Chemnitz, Germany
Studia Mathematica, Tome 198 (2010) no. 3, pp. 221-233
Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

Voir la notice de l'article

We show that under minimal assumptions, the intrinsic metric induced by a strongly local Dirichlet form induces a length space. The main input is a dual characterization of length spaces in terms of the property that the 1-Lipschitz functions form a sheaf.
DOI : 10.4064/sm198-3-2
Keywords: under minimal assumptions intrinsic metric induced strongly local dirichlet form induces length space main input dual characterization length spaces terms property lipschitz functions form sheaf

Peter Stollmann  1

1 Fakultät für Mathematik Technische Universität 09107 Chemnitz, Germany 
@article{10_4064_sm198_3_2,
     author = {Peter Stollmann},
     title = {A dual characterization of length spaces with
 application to {Dirichlet} metric spaces},
     journal = {Studia Mathematica},
     pages = {221--233},
     year = {2010},
     volume = {198},
     number = {3},
     doi = {10.4064/sm198-3-2},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/sm198-3-2/}
}
TY  - JOUR
AU  - Peter Stollmann
TI  - A dual characterization of length spaces with
 application to Dirichlet metric spaces
JO  - Studia Mathematica
PY  - 2010
SP  - 221
EP  - 233
VL  - 198
IS  - 3
UR  - http://geodesic.mathdoc.fr/articles/10.4064/sm198-3-2/
DO  - 10.4064/sm198-3-2
LA  - en
ID  - 10_4064_sm198_3_2
ER  - 
%0 Journal Article
%A Peter Stollmann
%T A dual characterization of length spaces with
 application to Dirichlet metric spaces
%J Studia Mathematica
%D 2010
%P 221-233
%V 198
%N 3
%U http://geodesic.mathdoc.fr/articles/10.4064/sm198-3-2/
%R 10.4064/sm198-3-2
%G en
%F 10_4064_sm198_3_2
Peter Stollmann. A dual characterization of length spaces with
 application to Dirichlet metric spaces. Studia Mathematica, Tome 198 (2010) no. 3, pp. 221-233. doi: 10.4064/sm198-3-2

Cité par Sources :