A note on the geometry of certain classes of linear operators

关于几类函数代数的一个注记

A Note on Some Classes of Function Algebras

本文针对特殊类型函数代数建立了新结果，并为已有定理提供了新证明。

A Note on Approximations of Fixed Points for Nonexpansive Mappings in Norm-attainable Classes

Let $H$ be an infinite dimensional, reflexive, separable Hilbert space and $NA(H)$ the class of all norm-attainble operators on $H.$ In this note, we study an implicit scheme for a canonical representation of nonexpansive contractions in norm-attainable classes.

Notes on the geometry of space of polynomials

We show that the symmetric injective tensor product space $\hat{\otimes}_{n,s,ε}E$ is not complex strictly convex if E is a complex Banach space of $\dim E \ge 2$ and if $n\ge 2$ holds. It is also reproved that $\ell_\infty$ is finitely represented in $\hat{\otimes}_{n,s,ε}E$ if E is infinite dimensional and if $n\ge 2$ holds, which was proved in the other way by Dineen.

A Short Note on some open problems in the geometry of operator ideals

We list and discuss the background of some open problems, regarding the principle of local reflexivity for maximal Banach ideals.

关于狄里赫利空间上加权复合算子的注记

A note on weighted composition operators on Dirichlet space

本文研究了狄里赫利空间上加权复合算子的紧性条件、数值范围刻画及零点包含准则，并引入了具有特定数值范围的算子类。