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CHARACTERIZATIONS OF BOUNDED VECTOR MEASURES
Ronglu, Li,Kang, Shin-Min Korean Mathematical Society 2000 대한수학회보 Vol.37 No.2
Let X be a locally convex space. A series of clearcut characterizations for the boundedness of vector measure $\mu{\;}:{\;}\sum\rightarrow{\;}X$ is obtained, e.g., ${\mu}$ is bounded if and only if ${\mu}(A_j){\;}\rightarrow{\;}0$ weakly for every disjoint $\{A_j\}{\;}\subseteq{\;}\sum$ and if and only if $\{\frac{1}{j^j}{\mu}(A_j)\}^{\infty}_{j=1}$ is bounded for every disjoint $\{A_j\}{\;}\subseteq{\;}\sum$.
Demi-linear analysis I-basic principles
Ronglu Li,Shuhui Zhong,Linsong Li 대한수학회 2009 대한수학회지 Vol.46 No.3
The family of demi-linear mappings between topological vector spaces is a meaningful extension of the family of linear operators. We establish equicontinuity results for demi-linear mappings and develop the usual theory of distributions and the usual duality theory. The family of demi-linear mappings between topological vector spaces is a meaningful extension of the family of linear operators. We establish equicontinuity results for demi-linear mappings and develop the usual theory of distributions and the usual duality theory.
DEMI-LINEAR ANALYSIS I-BASIC PRINCIPLES
Li, Ronglu,Zhong, Shuhui,Li, Linsong Korean Mathematical Society 2009 대한수학회지 Vol.46 No.3
The family of demi-linear mappings between topological vector spaces is a meaningful extension of the family of linear operators. We establish equicontinuity results for demi-linear mappings and develop the usual theory of distributions and the usual duality theory.
FIXED POINTS OF ASYMPTOTICALLY REGULAR MAPPINGS
Kang, Shin-Min,Ronglu, Li The Youngnam Mathematical Society Korea 1998 East Asian mathematical journal Vol.14 No.2
In this paper, we prove some common fixed point theorems for compatible mappings by using asymptotically regular mappings under the contractive type of G. E. Hardy and T. D. Rogers, and also give some examples to illustrate our main theorems. Our results extend the results of M. D. Guay and K. L. Singh and others.
SEQUENTIAL-EVALUATION CONVERGENCE OF FUNCTION SERIES
Cho, Min-Hyung,Ronglu, Li 금오공과대학교 산업기술개발연구원 2000 産業技術開發硏究 Vol.16 No.-
A series of uniform convergence results are established for sequential-evaluation convergent series of abstract functions defined on a normed space.
趙玟亨,李容祿 金烏工科大學校 産業技術開發硏究院 1998 産業技術開發硏究 Vol.14 No.-
In this paper we would like to improve Thomas type results by weakening the compactness assumption of the domain space. It is well known that every compact space must be countably compact but the converse fails so we would like to establish Thomas type results for sequentially compact spaces and countably compact spaces.