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Lobachevskii Journal of Mathematics, 2001, Volume 9, Pages 15–27 (Mi ljm125)  
Interpolation spaces with function parameter and measures of non-compactness

E. B. da Silvaa, D. L. Fernandezb

a Universidade Estadual de Maringá
b Universidade Estadual de Campinas, Departamento de Matematica Aplicada
Full-text PDF (181 kB)
Abstract: The behaviour of the measure of non-compactness of an operator acting on interpolation spaces, with function parameter and having one-sided hypothesis is studied. We obtain as corollaries a theorem of Cwikel type and a result to the radius of the essential spectrum of the interpolated operator.
Submitted by: D. Kh. Mushtari
Received: 06.11.2001
Bibliographic databases:
Language: English
Citation: E. B. da Silva, D. L. Fernandez, “Interpolation spaces with function parameter and measures of non-compactness”, Lobachevskii J. Math., 9 (2001), 15–27
Citation in format AMSBIB
\Bibitem{Da Fer01}
\by E.~B.~da Silva, D.~L.~Fernandez
\paper Interpolation spaces with function parameter and measures of non-compactness
\jour Lobachevskii J. Math.
\yr 2001
\vol 9
\pages 15--27
\mathnet{http://mi.mathnet.ru/ljm125}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1884106}
\zmath{https://zbmath.org/?q=an:0995.46050}
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