搜索结果: 1-5 共查到“泛函分析 Banach space”相关记录5条 . 查询时间(0.301 秒)
A hereditarily indecomposable Banach space with rich spreading model structure
Spreading models Strictly singular operators Reflexive spaces Hereditarily indecomposable spaces
2012/6/25
We present a reflexive Banach space $\mathfrak{X}_{_{^\text{usm}}}$ which is Hereditarily Indecomposable and satisfies the following properties. In every subspace $Y$ of $\mathfrak{X}_{_{^\text{usm}}}...
Heat equation for weighted Banach space valued function spaces
Laplace operator holomorphic semigroups weighted Banach space valued function spaces Functional Analysis
2012/6/21
We study the homogeneous equation (*) $ u' = \Delta u$, $t > 0$, $u(0)=f\in wX$, where $wX$ is a weighted Banach space, $w(x)= (1+||x||)^k$, $x\in \r^n$ with $k\ge 0$, $ \Delta$ is the Laplacian, $Y$ ...
Under the Continuum Hypothesis all nonreflexive Banach space ultrapowers are primary
Banach space ultrapowers primary Banach spaces Stone-Cech remainder Representation Theorem superreflexivity
2011/8/30
Abstract: In this note a large class of primary Banach spaces is characterized. Namely, it will be demonstrated that under the Continuum Hypothesis the ultrapower of any infinite dimensional nonsuperr...
Some Representation Theorem for nonreflexive Banach space ultrapowers under the Continuum Hypothesis
Banach space ultrapowers Stone-Cech remainder dual space extreme points smooth points complemented subspaces
2011/8/31
Abstract: In this paper it will be shown that assuming the Continuum Hypothesis (CH) every nonreflexive Banach space ultrapower is isometrically isomorphic to the space of continuous, bounded and real...
A $c_0$ saturated Banach space with tight structure
c0 saturated Banach spaces space of operators saturated norms hereditarily
2011/1/21
It is shown that variants of the HI methods could yield objects closely connected to the classical Banach spaces. Thus we present a new c0 saturated space, denoted as X0,with rather tight structure.