کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4616958 1339364 2013 11 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Interpolative construction and factorization of operators
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
Interpolative construction and factorization of operators
چکیده انگلیسی

Banach operator ideals generated by interpolative construction applied to pp-summing operators are studied. These ideals are described in terms of factorization through abstract interpolation Lorentz spaces. Relationships between Banach ideals determined by Orlicz sequence spaces are shown and a variant of the Pisier factorization theorem for (p,1)(p,1)-summing operators from C(K)C(K)-spaces is proved. Applications to Schatten classes are given. It is also shown that certain known results on (q,p)(q,p)-concave operators from Banach lattices can be lifted to a class of generalized concave operators.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 401, Issue 1, 1 May 2013, Pages 198–208
نویسندگان
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