On limits of $L_p$-norms of an integral operator
Applications of Mathematics, Tome 39 (1994) no. 4, pp. 299-307.

Voir la notice de l'article dans Czech Digital Mathematics Library

A recurrence relation for the computation of the $L_p$-norms of an Hermitian Fredholm integral operator is derived and an expression giving approximately the number of eigenvalues which in absolute value are equal to the spectral radius is determined. Using the $L_p$-norms for the approximation of the spectral radius of this operator an a priori and an a posteriori bound for the error are obtained. Some properties of the a posteriori bound are discussed.
DOI : 10.21136/AM.1994.134259
Classification : 47A10, 47A30, 47A53, 47B15, 47G10
Mots-clés : $L_p$-norms of an integral operator; Hermitian Fredholm integral operator 
@article{10_21136_AM_1994_134259,
     author = {Stavinoha, Pavel},
     title = {On limits of $L_p$-norms of an integral operator},
     journal = {Applications of Mathematics},
     pages = {299--307},
     publisher = {mathdoc},
     volume = {39},
     number = {4},
     year = {1994},
     doi = {10.21136/AM.1994.134259},
     mrnumber = {1284103},
     zbl = {0816.47055},
     language = {en},
     url = {https://geodesic-test.mathdoc.fr/articles/10.21136/AM.1994.134259/}
}
TY  - JOUR
AU  - Stavinoha, Pavel
TI  - On limits of $L_p$-norms of an integral operator
JO  - Applications of Mathematics
PY  - 1994
SP  - 299
EP  - 307
VL  - 39
IS  - 4
PB  - mathdoc
UR  - https://geodesic-test.mathdoc.fr/articles/10.21136/AM.1994.134259/
DO  - 10.21136/AM.1994.134259
LA  - en
ID  - 10_21136_AM_1994_134259
ER  - 
%0 Journal Article
%A Stavinoha, Pavel
%T On limits of $L_p$-norms of an integral operator
%J Applications of Mathematics
%D 1994
%P 299-307
%V 39
%N 4
%I mathdoc
%U https://geodesic-test.mathdoc.fr/articles/10.21136/AM.1994.134259/
%R 10.21136/AM.1994.134259
%G en
%F 10_21136_AM_1994_134259
Stavinoha, Pavel. On limits of $L_p$-norms of an integral operator. Applications of Mathematics, Tome 39 (1994) no. 4, pp. 299-307. doi : 10.21136/AM.1994.134259. https://geodesic-test.mathdoc.fr/articles/10.21136/AM.1994.134259/

Cité par Sources :