Geometrical properties of Banach spaces generated by sublinear operators

作者：Astashkin S V^*

来源：Positivity, 2013, 17(2): 223-234.

DOI：10.1007/s11117-012-0159-7

• Sublinear operator
• Complemented l(p)-copy
• Real interpolation space
• Extrapolation space
• Cesaro space

We solve a problem posed by Mastylo (Math Japon 36(1), 85-92, 1991) proving that every "non-trivial" subspace of a Banach space X generated by some positive sublinear operator and an L (p) -space with 1 a parts per thousand currency sign p < a contains, for any , an -copy of l (p) which is -complemented in X.

• 出版日期2013-6