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第一届冬季数学高级研讨会（First Winter Workshop on Advanced Topics in Mathematics:Commutative Algebra and Banach Space Theory）
第一届 冬季数学 高级研讨会
2017/12/20
This four-day workshop is devoted to discuss advanced topics from commutative algebra and Banach space theory. The theme of this workshop is twofold: parallel series of lectures will be delivered in c...
Lyapunov Exponents for Infinite Dimensional Random Dynamical Systems in a Banach Space
Random Dynamical Systems Lyapunov Exponents
2015/4/3
Metric Dynamical System
Let be a probability space.
Let be a metric dynamical system:
(i)
(ii)
(iii) preserves th...
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.
A Boolean algebra and a Banach space obtained by push-out iteration
Boolean algebra Banach space push-out iteration
2011/2/25
Under the assumption that c is a regular cardinal, we prove the existence and uniqueness of a Boolean algebra B of size c defined by sharing the main structural properties that P(!)/fin has under CH a...
Convergence theorems of iterative scheme for a countable family of nonexpansive mappings in a Banach space
Strong convergence nonexpansive mappings
2010/9/21
In this paper, we introduce a new Halpern type iterative sequence for a countable family of nonexpansive mappings. Then we prove that such a sequence converges strongly to a common fixed point of a co...
On the Banach space valued Azuma inequality and small set isoperimetry of Alon-Roichman graphs
Banach space valued Azuma inequality small set isoperimetry of Alon-Roichman graphs
2010/12/14
We discuss the connection between the expansion of small sets in graphs, and the Schatten norms of their adjacency matrix. In conjunction with a variant of the Azuma inequality for uniformly smooth no...
A new convergence theorem for Newton's method in Banach space using assumptions on the first Frechet-derivative
Newton’s method Fr´ echet-differentiable
2010/9/15
In this study, we provide a new Kantorovich-type convergence theorem for Newton’s method in Banach space. Its condition is different from earlier ones, and therefore it has theoretical and practical v...
We study the sufficient and necessary conditions of the convergence for
parameter-based rational methods in a Banach space.
We derive a closed form of error bounds
in terms of a real
parameter $\l...