Inductive Topologies of L-fuzzy Topological Vector Spaces

Chinese Quarterly Journal of Mathematics ›› 2001, Vol. 16 ›› Issue (2): 22-29.

Inductive Topologies of L-fuzzy Topological Vector Spaces

南京师范大学数学系江苏南京210097

Received:2000-02-24 Online:2001-06-30 Published:2024-06-07
About author:YAN Cong-hua（1966－）,male,native of Lianshui,Jiangsu,a vice-professor of Nanjing Normal University ,engages in fuzzy analysis．
Supported by:
Supported by the Natural Science Foundation of Educational Committee of Jiangsu Province（99KJD110013）

Abstract

Abstract: 利用Lfuzzy拓扑向量空间理论[1] - [6] ,本文研究了由Lfuzzy线性序同态族所确定的Lfuzzy归纳拓扑的一些性质 ,给出了由单一Lfuzzy线性序同态所确定的Lfuzzy归纳拓扑的一个特征刻划 .利用此结果 ,证明了Lfuzzy拓扑向量空间的商空间亦是Lfuzzy拓扑向量空间 .

Key words: , L-fuzzy线性序同态, L-fuzzy拓扑向量空间, L-fuzzy局部凸空间, L-fuzzy归纳拓扑, ,

CLC Number:

O189

YAN Cong-hua. Inductive Topologies of L-fuzzy Topological Vector Spaces [J]. Chinese Quarterly Journal of Mathematics, 2001, 16(2): 22-29.

[1]	LI Ping, LI Feng-jie. Blow-Up and Decay Estimate in a Logarithmic p-Laplace Parabolic Equation [J]. Chinese Quarterly Journal of Mathematics, 2024, 39(4): 331-354.
[2]	PEI Ke-ke, LONG Pin-hong, LIU Jin-lin, GANGADHARAN Murugusundaramoorthy. Fekete-Szegö Inequalities and the Symmetric Toeplitz Determinants for Certain Analytic Function Class Involving q-Differintegral Operator [J]. Chinese Quarterly Journal of Mathematics, 2024, 39(4): 366-378.
[3]	JI Lin-xing, ZHANG Ke, HU Wen-jun. Independence Polynomials and the Merrifield-Simmons Index of Mono-Layer Cylindrical Grid Graphs [J]. Chinese Quarterly Journal of Mathematics, 2024, 39(4): 379-387.
[4]	WANG Hui-man, SHEN Pei-ping, LIANG Yu-xin. Branch and Bound Algorithm for Globally Solving Minimax Linear Fractional Programming [J]. Chinese Quarterly Journal of Mathematics, 2024, 39(4): 388-398.
[5]	DENG Jing-tao. The Hyers-Ulam Stability and Hyers-Ulam Instability for Some Nonhomogeneous Ordinary Differential Equations [J]. Chinese Quarterly Journal of Mathematics, 2024, 39(4): 420-430.
[6]	WEI Li-yang, LI Feng. Italian Domination of Strong Product of Two Paths [J]. Chinese Quarterly Journal of Mathematics, 2024, 39(3): 221-234.
[7]	LI Xiang, YU Bo, TANG Qiong. Factorized Smith Method for A Class of High-Ranked Large-Scale T-Stein Equations [J]. Chinese Quarterly Journal of Mathematics, 2024, 39(3): 235-249.
[8]	LI Nan, ZHAO Hui-yan, XU Li-ping. Normalized Ground State Solutions of Nonlinear Choquard Equations with Nonconstant Potential [J]. Chinese Quarterly Journal of Mathematics, 2024, 39(3): 250-261.
[9]	ZHANG Wen-wen, LI Ping-run. On the Method of Solution for the Non-Homogeneous Generalized Riemann-Hilbert Boundary Value Problems [J]. Chinese Quarterly Journal of Mathematics, 2024, 39(3): 262-269.
[10]	LI Ran, LIAN Tie-yan. Ostrowski’s Type Inequalities for Generalized (h,m)−Preinvex Functions with Its Applications [J]. Chinese Quarterly Journal of Mathematics, 2024, 39(3): 270-287.
[11]	MAO Hang-ning, CHANG Yong-kui. Pseudo S-Asymptotically (ω,c)-Periodic Solutions to Fractional Differential Equations of Sobolev Type [J]. Chinese Quarterly Journal of Mathematics, 2024, 39(3): 295-306.
[12]	CHEN Yu-lei, GUO Dong-wei. Combinatorial Identities Concerning Harmonic Numbers [J]. Chinese Quarterly Journal of Mathematics, 2024, 39(3): 307-314.
[13]	FU Zhi-peng. A Remark on the Affine Coordinates for KdV Tau-Functions [J]. Chinese Quarterly Journal of Mathematics, 2024, 39(3): 324-330.
[14]	JIANG Dong-yue, TANG Zhong-hua, FANG Shao-mei. Local Existence and Blow-Up of Solutions for Pseudo-Parabolic Equation with Singular Potential and General Nonlinearity [J]. Chinese Quarterly Journal of Mathematics, 2024, 39(2): 111-127.
[15]	PANG Ru-yi, CHEN Qiao-ling. Codimension-Two Bifurcations Analysis of a Discrete Predator-Prey Model Incorporating a Prey Refuge [J]. Chinese Quarterly Journal of Mathematics, 2024, 39(2): 128-143.

Inductive Topologies of L-fuzzy Topological Vector Spaces

PDF (PC)

Knowledge

Abstract

Cite this article

share this article

References

Related Articles 15

Recommended Articles

Metrics

Comments