1-spreading models in mixed Tsirelson space
Denny H. Leung, Wee-Kee Tang
Abstract
Suppose that (Fn)n=1∞ is a sequence of regular families of finite subsets of N and (θn)n=1∞ is a nonincreasing null sequence in (0,1). The mixed Tsirelson space T[(θn, Fn)n=1∞] is the completion of c00 with respect to the implicitly defined norm ||x|| = max||x||c0, supn sup θn Σi=1j||Eix||, where the last supremum is taken over all finite subsets E1,...,Ej of N such that E1 < >... <Ej and min E1,...,min Ej ∈ Fn. Necessary and sufficient conditions are obtained for the existence of higher order 1-spreading models in every subspace generated by a subsequence of the unit vector basis of T[(θn, Fn)n=1∞.
Create a lesson
Related papers
Best proximity point results of operator type condensing mappings via measure of noncompactness and application to an infinite system of differential equations in c0 and 1
Parveen Kumar, Ankit Kumar
Bourgain-Rosenthal-Schechtman spaces in rearrangement-invariant and Hardy spaces
Konstantinos Konstantos, Pavlos Motakis, Thomas Speckhofer
The tensor product of the Fremlin tensor product of Banach lattice algebras
Jamel Jaber, Marwa Troudi
Gaussian inequalities with different covariance matrices - the Heterovariant Gaussian Brunn-Minkowski inequality
Emanuel Milman, Shohei Nakamura, Hiroshi Tsuji
Quasinormal and hyponormal operators in the β(H)-class
Ramesh Golla, Hiroyuki Osaka, Shanola S. Sequeira
A Vector-Valued Extension of a Theorem of Marciszewski
Leandro Candido