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A new paranormed sequence space defined by Catalan conservative matrix [PDF]

Mathematical Methods in the Applied Sciences, 2021
In this study, by using the Catalan conservative matrix, we define a new paranormed sequence space l(C similar to,p) and show that the space l(C similar to,p) is linearly isomorphic to l(p).
Pinar Zengin Alp
exaly   +2 more sources

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Paranormal operators in semi-Hilbertian spaces

Afrika Matematika, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Guesba, Messaoud, Mahmoud, Sid Ahmed Ould Ahmed   +1 more
openaire   +1 more source

Lacunary statistical convergence in a paranormed space

AIP Conference Proceedings, 2012
In this paper, we introduce and study lacunary statistical convergence in a paranormed space and we shall also present some inclusion theorems.
Selma Altundaǧ, Metin Başarır
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Paranormed sequence spaces generated by infinite matrices

Mathematical Proceedings of the Cambridge Philosophical Society, 1968
A paranormed space X = (X, g) is a topological linear space in which the topology is given by paranorm g—a real subadditive function on X such that g(θ) = 0, g(x) = g(−x) and such that multiplication is continuous. In the above, θ is the zero in the complex linear space X and continuity of multiplication means that λn → λ, xn → x(i.e.
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Paranormal operator on a Hilbert space

1970
In this thesis an extensive study is made of the set P of all paranormal operators in B(H), the set of all bounded endomorphisms on the complex Hilbert space H. T ϵ B(H) is paranormal if for each z contained in the resolvent set of T, d(z, σ(T))//(T-zI)-1 = 1 where d(z, σ(T)) is the distance from z to σ(T), the spectrum of T.
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On approximation of multivalued mappings in paranormed spaces

Scientific Review: Science and Engineering, 1996
Let \((X, |\cdot |^*)\) be a paranormed space and \(K \subseteq X\). In the book: [\textit{O. Hadžić}, Fixed point theory in topological vector spaces, Institut of Mathematics, Novi Sad, pp. 334 (l984; Zbl 0576.47030)], a class of \(Z\)-type subsets \(K\) of \(X\) is introduced in the following way: \(K\) is of \(Z\)-type if there exists \(C(K)>0\) so ...
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ON THE PARANORMED TAYLOR SEQUENCE SPACES

2015
In this paper, the sequence spaces $t^r_0(p)$, $t^r_c(p)$ and $t^r(p)$ of non-absolute type which are the generalization of the Maddox \ sequence spaces have \ been introduced and it is proved that the spaces $t^r_0(p)$, $t^r_c(p)$ and $t^r(p)$ are linearly isomorphic to spaces $c_0(p)$, $c(p)$ and $\ell(p)$, respectively.
ELLIDOKUZOGLU, HACER BILGIN, DEMIRIZ, SERKAN   +1 more
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Paranormed Nörlund Sequence Spaces

2020
Feyzi Başar, Hemen Dutta
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On paranormal spaces

Mathematical Notes, 2007
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On the paranormed sequence space arising from Catalan–Motzkin matrix

Advances in Operator Theory, 2023
Muhammet Cihat Dagli
exaly