Results 1 to 10 of about 98 (97)
Operators Approximable by Hypercyclic Operators [PDF]
Proceedings of the Royal Irish Academy, 2015 We show that operators on a separable infinite dimensional Banach space $X$ of the form $I +S$, where $S$ is an operator with dense generalised kernel, must lie in the norm closure of the hypercyclic operators on $X$, in fact in the closure of the mixing operators.
exaly +5 more sources
Some properties of pre-quasi norm on Orlicz sequence space
Journal of Inequalities and Applications, 2020 In this article, we introduce the concept of pre-quasi norm on E (Orlicz sequence space), which is more general than the usual norm, and give the conditions on E equipped with the pre-quasi norm to be Banach space.
Awad A. Bakery, Afaf R. Abou Elmatty
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Eigenvalues of s-type operators on C ( p ) $C(p)$ equipped with a pre-quasi norm
Journal of Inequalities and Applications, 2020 We investigate some new topological properties of the multiplication operator on C ( p ) $C(p)$ defined by Lim (Tamkang J. Math. 8(2):213–220, 1977) equipped with the pre-quasi-norm and the pre-quasi-operator ideal formed by this sequence space and s ...
Awad A. Bakery, Elsayed A. E. Mohamed
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A note on Nakano generalized difference sequence space
Advances in Difference Equations, 2020 In this paper, we investigate the necessary conditions on any s-type sequence space to form an operator ideal. As a result, we show that the s-type Nakano generalized difference sequence space X fails to generate an operator ideal.
Awad A. Bakery, Afaf R. Abou Elmatty
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Spectral Approximation of Convolution Operators [PDF]
SIAM Journal on Scientific Computing, 2018 We develop a unified framework for constructing matrix approximations to the convolution operator of Volterra type defined by functions that are approximated using classical orthogonal polynomials on $[-1, 1]$. The numerically stable algorithms we propose exploit recurrence relations and symmetric properties satisfied by the entries of these ...
Kuan Xu, Ana F. Loureiro
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The spectrum generated by s-numbers and pre-quasi normed Orlicz-Cesáro mean sequence spaces
Open Mathematics, 2020 In this article, we study some topological properties of the multiplication operator on Orlicz-Cesáro mean sequence spaces equipped with the pre-quasi norm and the pre-quasi operator ideal constructed by this sequence space and s-numbers.
Bakery Awad A.
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Local approximation of operators
Applied and Computational Harmonic Analysis, 2023 Many applications, such as system identification, classification of time series, direct and inverse problems in partial differential equations, and uncertainty quantification lead to the question of approximation of a non-linear operator between metric spaces $\mathfrak{X}$ and $\mathfrak{Y}$.
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Approximability of the inverse of an operator [PDF]
Proceedings of the American Mathematical Society, 1978 Let A be an invertible operator on a complex Hilbert space H \mathcal {H}
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Approximate Wavelets and the Approximation of Pseudodifferential Operators
Applied and Computational Harmonic Analysis, 1999 Preprint: Weierstraß-Institut für Angewandte Analysis und Stochastik, vol ...
Schmidt, Gunther, Maz'ya, Vladimir
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WKB approximation with conformable operator
Modern Physics Letters A, 2022 In this paper, the Wentzel–Kramers–Brillouin (WKB) method is extended to be applicable for conformable Hamiltonian systems, where the concept of conformable operator with fractional order [Formula: see text] is involved. The WKB approximation for the [Formula: see text]-wave function is derived for potentials which slowly vary in space.
Mohamed Al-Masaeed +2 more
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