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Level numbers of a bounded linear operator between normed linear spaces and singular value decomposition revisited

Linear and multilinear algebra, 2020
We introduce the notion of level numbers of a bounded linear operator between normed linear spaces, as a generalization of the singular values of an operator between inner product spaces.
D. Sain, Saikat Roy, Ryotaro Tanaka
semanticscholar   +1 more source

Continuous and bounded linear operators in neutrosophic normed spaces

Journal of Intelligent & Fuzzy Systems, 2021
In this article, we show that the addition and scalar multiplication in neutrosophic normed spaces are continuous. The neutrosophic boundedness and continuity of linear operators between neutrosophic normed spaces are examined. Moreover, we analyzed that
V. Khan, A. Esi, M. Ahmad, M. Khan
semanticscholar   +1 more source

Stability of a more general cubic functional equation in Felbin’s type fuzzy normed linear spaces

Journal of Intelligent & Fuzzy Systems, 2020
Let k ≥ 2 be an integer. The purpose of this paper is first to introduce the notation of Felbin’s type fuzzy normed linear spaces, and then by virtue of this notation to study some stability results concerning the more general cubic functional equation ...
Zhihua Wang
semanticscholar   +1 more source

Fuzzy Bounded Linear Operator in Fuzzy Normed Linear Spaces and its Fuzzy Compactness

New Mathematics and Natural Computation, 2020
In this paper, we first investigate the relationship between various notions of fuzzy boundedness of linear operators in fuzzy normed linear spaces.
Mami Sharma, D. Hazarika
semanticscholar   +1 more source

λ- statistical convergence in fuzzy normed linear spaces

Journal of Intelligent & Fuzzy Systems, 2018
In this paper, we have introduced λ- statistical convergence and condition of being λ- statistical Cauchy of real number sequences in fuzzy normed linear spaces.
M. Türkmen, Muhammed Çınar
semanticscholar   +1 more source

Level numbers of a bounded linear operator between normed linear spaces-II

Linear and multilinear algebra
We continue the study of level numbers and level vectors of a bounded linear operator between normed linear spaces. We prove that every linear operator on a finite-dimensional polyhedral Banach space possesses only finitely many level numbers.
Saikat Roy, D. Sain, Ryotaro Tanaka
semanticscholar   +1 more source

λ -STATISTICAL CONVERGENCE IN FUZZY N NORMED LINEAR SPACES

Journal of Mathematical Analysis
In this paper, we introduce λ− statistical convergence and the condition of being λ− statistical Cauchy of real number sequences in fuzzy n normed linear spaces.
Muhammed Recai Turkmen   +1 more
semanticscholar   +1 more source

Interpolation and inverse problems in spectral Barron spaces

arXiv.org
Spectral Barron spaces, which quantify the absolute value of weighted Fourier coefficients of a function, have gained considerable attention due to their capability for universal approximation across certain function classes. By establishing a connection
Shuai Lu, Peter Math'e
semanticscholar   +1 more source

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