CONTINUOUS MAPPINGS AND BOUNDED LINEAR OPERATORS IN FUZZY n-NORMED LINEAR SPACES

HAKAN EFE

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CONTINUOUS MAPPINGS AND BOUNDED LINEAR OPERATORS IN FUZZY n-NORMED LINEAR SPACES

机译：n赋范数线性空间中的连续映射和有界线性算子

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摘要

The aim of this paper to define different types of conti-nuities of operators and boundedness of linear operators over fuzzy n-normed linear spaces. Also some definitions such as fuzzy continuity, sequential fuzzy continuity, weakly fuzzy continuity, strongly fuzzy continuity, weakly fuzzy boundedness and strongly fuzzy bounded-ness are given in fuzzy n-normed linear spaces. In addition, some theorems related to these definitions are proved.

机译：本文旨在定义模糊n赋范线性空间上不同类型的算子连续性和线性算子的有界性。在模糊n范数线性空间中给出了模糊连续性，顺序模糊连续性，弱模糊连续性，强模糊连续性，弱模糊有界性和强模糊有界性等定义。另外，证明了与这些定义有关的一些定理。

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《Ars Combinatoria: An Australian-Canadian Journal of Combinatorics》 |2012年第null期|共21页
作者
HAKAN EFE;
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正文语种 eng
中图分类组合数学（组合学）;
关键词
fuzzy n-norms; linear operator; fuzzy continuity;

机译：模糊n范数线性算子模糊连续性;

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专利

1. CONTINUOUS MAPPINGS AND BOUNDED LINEAR OPERATORS IN FUZZY n-NORMED LINEAR SPACES [J] . HAKAN EFE Ars Combinatoria: An Australian-Canadian Journal of Combinatorics . 2012,第Null期

机译：n赋范数线性空间中的连续映射和有界线性算子
2. Fuzzy bounded linear operators in Felbin's type fuzzy normed linear spaces [J] . T. Bag, S.K. Samanta Fuzzy sets and systems . 2008,第6期

机译：Felbin型模糊赋范线性空间中的模糊有界线性算子
3. Fuzzy Bounded Linear Operator in Fuzzy Normed Linear Spaces and its Fuzzy Compactness [J] . Mami Sharma, Debajit Hazarika New Mathematics and Natural Computation . 2020,第1期

机译：模糊界线线性运算符在模糊规范的线性空间及其模糊致密度
4. Linear L-topologies on the space of L-continuous bi-induced linear operators [C] . Cong-hua Yan, Jin-xuan Fang IEEE International Conference on Fuzzy Systems . 2008

机译：线性L-拓扑上L-Constall Bi-诱导的线性运算符的空间
5. Invariant subspace problem and spectral properties of bounded linear operators on Banach spaces, Banach lattices, and topological vector spaces [D] . Troitsky, Vladimir G. 1999

机译：Banach空间，Banach格和拓扑矢量空间上有界线性算子的不变子空间问题和谱性质
6. INTEGRAL REPRESENTATION OF LINEAR CONTINUOUS OPERATORS FROM THE SPACE OF LEBESGUE-BOCHNER SUMMABLE FUNCTIONS INTO ANY BANACH SPACE [O] . Witold M. Bogdanowicz 1965

机译：线性连续算子从Lebesgue-Bochner可加函数空间到任何Banach空间的积分表示
7. A Study on Fuzzy Order Bounded Linear Operators in Fuzzy Riesz Spaces [O] . Juan Luis García Guirao, Mobashir Iqbal, Zia Bashir, 2021

机译：模糊秩序的模糊秩序线性运营商在模糊riesz空间中的研究
8. Nonexistence of a Continuous Right Inverse for Surjective Linear Partial Differential Operators on the Spaces (Gamma Sup Delta)(Omega) [R] . Cohoon, D. K. 1970

机译：空间上的投射线性偏微分算子（Gamma sup Delta）（Omega）的连续右逆的不存在性

CONTINUOUS MAPPINGS AND BOUNDED LINEAR OPERATORS IN FUZZY n-NORMED LINEAR SPACES

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