Relative Strong F Compactness and Relative Ultra-F Compactness in L-topological Spaces

In this paper, two concepts of relative compactness-the relative strong fuzzy compactness and the relative ultra-fuzzy compactness are defined in L-topological spaces for an arbitrary L-set. Properties of relative strong fuzzy sets and relative ultra-fuzzy compact sets are studied in detail and some characteristic theorems are given. Some examples are illustrated.

Stability for F-Harmonic Maps

In this paper, the author discusses the stable F-harmonic maps, and obtains the Liouville-type theorem for F-harmonic maps into δ-pinched manifolds, which improves the ones in [3] due to M Ara.

CONTINUOUS MAPPINGS IN P_a(E;F)

Let E and F be Banach spaces over the same field K which is either the field R or the field C.The character of continuous mappings in P a(E;F) which is a vector space of all polynomials from E into F is discussed.In particular,some equivalent conditions for a mapping P in P a(E;F) to be continuous are established.This is very important and useful to determine a mapping P in P a(E;F) to be either continuous or not in theory or practice.

关于测度的弱收敛

如对任意有界连续实函数g,都有lim∫_Qgdμ_n=∫_Qgdμ,称测度序列{μ_n}弱收敛于μ,记作μ_n??μ.文〔2〕在取值于Banach空间中函数的Bochner积分意义下推广该极限.该文则在取值于(F)-空间中抽象函数的Bochner积分意义下作进一步推广.

The f-width in Locally Convex Spaces

In this paper we extend the width problems in normed space to locally convex space and some results are given.

A Note on a Misuirewicz's Theorem

In this paper,we improve a Misuirewicz's theorem and give a new proof of small conjecture on topological entropy.

On the Aleksandrov Problem of Isometric Mapping*

This paper deals with some problems of isometry to extend Aleksandrov problem, Benz's result and Mazur-Ulam theorem.

The Multipliers on Two Sorts of Function Spaces

This paper deals with the pointwise multipliers from space F（p, q, s） to space βα on the unit ball B of C^n. The multiplier spaces M（F（p, q, s）,βα） are fully characterized.