Real interpolation of compact operators between quasi-Banach spaces
نویسندگان
چکیده
منابع مشابه
Interpolation of bilinear operators between quasi-Banach spaces
We study interpolation, generated by an abstract method of means, of bilinear operators between quasi-Banach spaces. It is shown that under suitable conditions on the type of these spaces and the boundedness of the classical convolution operator between the corresponding quasi-Banach sequence spaces, bilinear interpolation is possible. Applications to the classical real method spaces, Calderón-...
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Let A0;A1 and B0;B1 be couples of quasi-Banach spaces and let T be a linear operator. We prove that if T : A0 ! B0 is compact and T : A1 ! B1 is bounded, then T : A0;A1 ;q ! B0;B1 ;q is also compact. Some results on the structure of minimal and maximal interpolation methods are also established. 0. Introduction. Assume that T is a linear operator such that T : Lp0 ! Lq0 compactly and T ...
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ژورنال
عنوان ژورنال: MATHEMATICA SCANDINAVICA
سال: 1998
ISSN: 1903-1807,0025-5521
DOI: 10.7146/math.scand.a-13829