On limits of $L_p$-norms of an integral operator

Stavinoha, Pavel

doi:10.21136/AM.1994.134259

Geodesic

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On limits of

L_{p}

-norms of an integral operator

Stavinoha, Pavel

Applications of Mathematics, Tome 39 (1994) no. 4, pp. 299-307.

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

Résumé

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.

MR Zbl

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

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     title = {On limits of $L_p$-norms of an integral operator},
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     language = {en},
     url = {https://geodesic-test.mathdoc.fr/articles/10.21136/AM.1994.134259/}
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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/

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