Publication: Quantitative Estimates for Interpolated Operators by Multidimensional Methods
Loading...
Full text at PDC
Publication Date
1999
Advisors (or tutors)
Editors
Journal Title
Journal ISSN
Volume Title
Publisher
Universidad Complutense de Madrid
Citations
Exportar
Abstract
We describe the behavior of ideal variations under interpolation methods associated to polygons.
Description
UCM subjects
Unesco subjects
Keywords
Citation
K. Astala, On measures of non-compactness and ideal variations in Banach spaces, Ann. Acad. Sci. Fenn. Ser. A. 1 Math. Dissertationes 29 (1980) 1-42.
K. Astala and 1H.-O. Tylli, Seminorms related to weak compactness and to Tauberian operators, Math. Proc. Camb. Phil. Soc. 107 (1990) 367-375.
J. Bergh and J. Löfström, “Interpolation Spaces. An Introduction”, Springer, Berlin-Heidelberg-New York, 1976.
M. J. Carro avid L. I. Nikolova, Interpolation of limited and weakly compact operators on families of Banach spaces, Acta Appl. Math. 49 (1997) 151-177.
F. Cobos, P. Fernández-Martínez and A. Martínez, On the behavior of weak compactness under certain interpolation methods, Collectanea Math. (to appear).
F. Cobos, P. Fernández-Martínez and A. Martínez, Interpolation of the measure of non-compactness by the real method, Studia Math.(to appear).
F. Cobos, P. Fernández-Martínez and A. Martínez, Measure of noncompact ness and interpolation methods associated to polygons, Glasgow Math. J. 41 (1999) 65-79.
F. Cobos, P. Fernández-Martínez and T. Schonbek, Norm estimates for interpo!ation methods defined by means of polygons, J. Approx. Theory 80 (1995) 321-351.
F. Cobos, A. Manzano avid A. Martínez, Interpolatio» theory and measures related to operator ideala, Quarterly 3. Math. (to appear).
F. Cobos and A. Martínez, Remarks on interpolation properties of the measure of weak non-compactness and ideal variations , Math. Nachr. (to appear).
F. Cobos and A. Martínez, Extreme estimates for interpolated operators by the real method, J. London Math. Soc. (to appear).
E. Cobos and J. Peetre, Interpolation of compact operators: The multidimensional case, Proc. London Math. Soc. 63 (1991) 371-400.
F. S. De Blasi, On a property of the unit sphere in a Banach space, BuIl. Math. Soc. Sci. Math. R. S. Roumanie 21 (1977) 259-262.
S. Heinrich, Closed operator ideals and interpolation, J. Funct. Anal. 35 (1980) 397-411.
Jarchow and U. Matter, Interpolative constructions for operator ideals, Note di Mat. 8 (1988) 45-56.
A. Lebow and M. Schechter, Semigroups of operators and measures of non-compactness, J. Funct. Anal. 7 (1971) 1-26.
A. Pietsch, «Operator Ideals, North-Holland, Amsterdarn 1980.
H.Triebel, «Interpolation Theory, Function Spaces, Differential Operators, North-Holland, Amsterdam, 1978.
H.-O. Tylli, The essential norm of an operator is not self-dual, Israel J. Math. 91 (1995) 93-110.