Interpolation of real method spaces via some ideals of operators

Mastyło, Mieczysław; Milman, Mario

Studia Mathematica, Tome 133 (1999), p. 17-35 / Harvested from The Polish Digital Mathematics Library

Résumé

Certain operator ideals are used to study interpolation of operators between spaces generated by the real method. Using orbital equivalence a new reiteration formula is proved for certain real interpolation spaces generated by ordered pairs of Banach lattices of the form $(X, L_{\infty} (w))$ . As an application we extend Ovchinnikov’s interpolation theorem from the context of classical Lions-Peetre spaces to a larger class of real interpolation spaces. A description of certain abstract J-method spaces is also presented.

Publié le : 1999-01-01

Zbl 0939.46040

EUDML-ID : urn:eudml:doc:216657

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     author = {Mieczys\l aw Masty\l o and Mario Milman},
     title = {Interpolation of real method spaces via some ideals of operators},
     journal = {Studia Mathematica},
     volume = {133},
     year = {1999},
     pages = {17-35},
     zbl = {0939.46040},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-smv136i1p17bwm}
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Mastyło, Mieczysław; Milman, Mario. Interpolation of real method spaces via some ideals of operators. Studia Mathematica, Tome 133 (1999) pp. 17-35. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-smv136i1p17bwm/

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