Extended eigenvalues and the Volterra operator
Glasgow mathematical journal, Tome 44 (2002) no. 3, pp. 521-534
Voir la notice de l'article provenant de la source Cambridge
In this paper we consider the integral Volterra operator on the space L^2(0,1). We say that a complex number \lambda is an extended eigenvalue ofV if there exists a nonzero operator X satisfying the equation XV=\lambda VX. We show that the set of extended eigenvalues of V is precisely the interval (0,\infty ) and the corresponding eigenvectors may be chosen to be integral operators as well.
Biswas, Animikh; Lambert, Alan; Petrovic, Srdjan. Extended eigenvalues and the Volterra operator. Glasgow mathematical journal, Tome 44 (2002) no. 3, pp. 521-534. doi: 10.1017/S001708950203015X
@article{10_1017_S001708950203015X,
author = {Biswas, Animikh and Lambert, Alan and Petrovic, Srdjan},
title = {Extended eigenvalues and the {Volterra} operator},
journal = {Glasgow mathematical journal},
pages = {521--534},
year = {2002},
volume = {44},
number = {3},
doi = {10.1017/S001708950203015X},
url = {http://geodesic.mathdoc.fr/articles/10.1017/S001708950203015X/}
}
TY - JOUR AU - Biswas, Animikh AU - Lambert, Alan AU - Petrovic, Srdjan TI - Extended eigenvalues and the Volterra operator JO - Glasgow mathematical journal PY - 2002 SP - 521 EP - 534 VL - 44 IS - 3 UR - http://geodesic.mathdoc.fr/articles/10.1017/S001708950203015X/ DO - 10.1017/S001708950203015X ID - 10_1017_S001708950203015X ER -
%0 Journal Article %A Biswas, Animikh %A Lambert, Alan %A Petrovic, Srdjan %T Extended eigenvalues and the Volterra operator %J Glasgow mathematical journal %D 2002 %P 521-534 %V 44 %N 3 %U http://geodesic.mathdoc.fr/articles/10.1017/S001708950203015X/ %R 10.1017/S001708950203015X %F 10_1017_S001708950203015X
Cité par Sources :