Interpolation of real method spaces via some ideals of operators
Studia Mathematica, Tome 136 (1999) no. 1, pp. 17-35
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 $(X,L_∞(w))$. 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.
@article{10_4064_sm_136_1_17_35,
author = {Mieczys{\l}aw Masty{\l}o and Mario Milman},
title = {Interpolation of real method spaces via some ideals of operators},
journal = {Studia Mathematica},
pages = {17--35},
year = {1999},
volume = {136},
number = {1},
doi = {10.4064/sm-136-1-17-35},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/sm-136-1-17-35/}
}
TY - JOUR AU - Mieczysław Mastyło AU - Mario Milman TI - Interpolation of real method spaces via some ideals of operators JO - Studia Mathematica PY - 1999 SP - 17 EP - 35 VL - 136 IS - 1 UR - http://geodesic.mathdoc.fr/articles/10.4064/sm-136-1-17-35/ DO - 10.4064/sm-136-1-17-35 LA - en ID - 10_4064_sm_136_1_17_35 ER -
Mieczysław Mastyło; Mario Milman. Interpolation of real method spaces via some ideals of operators. Studia Mathematica, Tome 136 (1999) no. 1, pp. 17-35. doi: 10.4064/sm-136-1-17-35
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