Some topological and geometric properties of a new BK-space derived by using regular matrix of Fibonacci numbers

DOI10.1080/03081087.2016.1215403zbMath1390.46006OpenAlexW2500380731MaRDI QIDQ2979472

Çiğdem Asma Bektaş, Sinan Ercan

Publication date: 25 April 2017

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03081087.2016.1215403

zbMATH Keywords

geometric propertiesalpha-, beta- and gamma-dualsmatrix transformations in sequence spaces

Mathematics Subject Classification ID

Sequence spaces (including Köthe sequence spaces) (46A45) Banach sequence spaces (46B45) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Related Items (14)

On new Banach sequence spaces involving Leonardo numbers and the associated mapping ideal ⋮ Sequence spaces derived by the triple band generalized Fibonacci difference operator ⋮ On sequence spaces defined by the domain of tribonacci matrix in $c_0$ and $c$ ⋮ On topological properties of spaces obtained by the double band matrix ⋮ \(\Lambda^2\)-Fibonacci sequence spaces ⋮ On the sequence spaces involving bell numbers ⋮ On sequence space derived by the domain of \(q\)-Cesàro matrix in \(\ell_p\) space and the associated operator ideal ⋮ Superposition operators on sequence spaces 𝓁_p (F) derived by using matrix of Fibonacci numbers ⋮ Unnamed Item ⋮ A new conservative matrix derived by Catalan numbers and its matrix domain in the spacescandc₀ ⋮ Matrix domain of a regular matrix derived by Euler totient function in the spaces \(c_0\) and \(c\) ⋮ Poisson like matrix operator and its application in \(p\)-summable space ⋮ On difference sequence spaces of fractional-order involving Padovan numbers ⋮ Some topologic and geometric properties of new Catalan sequence spaces

Cites Work

• Unnamed Item
• Matrixtransformationen von Folgenräumen. Eine Ergebnisübersicht
• Approximation of upper bound for matrix operators on the Fibonacci weighted sequence spaces
• Some New Paranormed Difference Sequence Spaces Derived by Fibonacci Numbers
• Some properties of generalized Fibonacci sequence spaces
• The Fibonacci Numbers: Exposed
• On some new sequence spaces of non-absolute type related to the spaces ℓp and ℓ∞ I

This page was built for publication: Some topological and geometric properties of a new BK-space derived by using regular matrix of Fibonacci numbers