Geodesic
On analytic semigroups and cosine functions in Banach spaces
Studia Mathematica, Tome 129 (1998) no. 2, pp. 137-156

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

If A generates a bounded cosine function on a Banach space X then the negative square root B of A generates a holomorphic semigroup, and this semigroup is the conjugate potential transform of the cosine function. This connection is studied in detail, and it is used for a characterization of cosine function generators in terms of growth conditions on the semigroup generated by B. The characterization relies on new results on the inversion of the vector-valued conjugate potential transform.
DOI : 10.4064/sm-129-2-137-156

V. Keyantuo 1 ;  1

1 
@article{10_4064_sm_129_2_137_156,
     author = {V. Keyantuo and  },
     title = {On analytic semigroups and cosine functions in {Banach} spaces},
     journal = {Studia Mathematica},
     pages = {137--156},
     publisher = {mathdoc},
     volume = {129},
     number = {2},
     year = {1998},
     doi = {10.4064/sm-129-2-137-156},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/sm-129-2-137-156/}
}
TY  - JOUR
AU  - V. Keyantuo
AU  -  
TI  - On analytic semigroups and cosine functions in Banach spaces
JO  - Studia Mathematica
PY  - 1998
SP  - 137
EP  - 156
VL  - 129
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4064/sm-129-2-137-156/
DO  - 10.4064/sm-129-2-137-156
LA  - en
ID  - 10_4064_sm_129_2_137_156
ER  - 
%0 Journal Article
%A V. Keyantuo
%A  
%T On analytic semigroups and cosine functions in Banach spaces
%J Studia Mathematica
%D 1998
%P 137-156
%V 129
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4064/sm-129-2-137-156/
%R 10.4064/sm-129-2-137-156
%G en
%F 10_4064_sm_129_2_137_156
V. Keyantuo;  . On analytic semigroups and cosine functions in Banach spaces. Studia Mathematica, Tome 129 (1998) no. 2, pp. 137-156. doi: 10.4064/sm-129-2-137-156

Cité par Sources :