Spreading models isometric to `p or c0: The number of spreading models of a sequence
نویسندگان
چکیده
We introduce methods to “count” the number of spreading models generated by a sequence and prove the following dichotomy. Every basic sequence in a Banach space X has a normalized block basis (xn) which satisfies one and only one of the following two conditions: (1) (xn) determines a spreading model isometric to `p or c0 over X; (2) There exists a separable Banach space Y that contains (xn) and is finitely represented in X such that (xn) admits continuum many subsequences which generate uniformly nonisomorphic spreading models over Y .
منابع مشابه
Models of EFL Learners’ Vocabulary Development: Spreading Activation vs. Hierarchical Network Model
Semantic network approaches view organization or representation of internal lexicon in the form of either spreading or hierarchical system identified, respectively, as Spreading Activation Model (SAM) and Hi- erarchical Network Model (HNM). However, the validity of either model is amongst the intact issues in the literature which can be studied through basing the instruction compatible wi...
متن کاملNumerical Simulation of Piles Subjected To Lateral Spreading and Comparison with Shaking Table Results
Pile foundations are relatively vulnerable to lateral loads. During liquefaction-induced lateral spreading, this vulnerability is particularly conspicuous due to a loss of strength and stiffness in the liquefied soil. A nonlinear effective stress analysis incorporating an elastoplastic constitutive model based on Finite Difference Method (FLAC2D program) was used to numerically simulate shake t...
متن کاملStatistical Modeling for Oblique Collision of Nano and Micro Droplets in Plasma Spray Processes
Spreading and coating of nano and micro droplets on solid surfaces is important in a wide variety of applications including plasma spray coating, ink jet printing, DNA synthesis and etc. In spraying processes, most of droplets collide obliquely to the surface. The purpose of this article is to study the distribution of nano and micro droplets spreading when droplets impact at an oblique a...
متن کاملP 23: Apoptosis Following Cortical Spreading Depression in Juvenile Rats
Introduction: Repetitive cortical spreading depression (CSD) can lead to cell death in immature brain tissue. Caspases are involved in neuronal cell death in several CSD-related neurological disorders. Yet, whether repetitive CSD itself can induce caspase activation in adult or juvenile tissue remains unknown. Inducing repetitive CSD in somatosensory cortices of juvenile and adult rats in vivo,...
متن کاملA New Model Selection Test with Application to the Censored Data of Carbon Nanotubes Coating
Model selection of nano and micro droplet spreading can be widely used to predict and optimize of different coating processes such as ink jet printing, spray painting and plasma spraying. The idea of model selection is beginning with a set of data and rival models to choice the best one. The decision making on this set is an important question in statistical inference. Some tests and criteria a...
متن کامل