A note on Köthe–Toeplitz duals and multiplier spaces of sequence spaces involving bicomplex numbers
-
Nilay Değirmen
and
Birsen Sağır
Abstract
In this paper, we generalize the notions of the Köthe–Toeplitz duals of
sequence spaces by introducing the concepts of bicomplex α-dual,
bicomplex β-dual and bicomplex γ-dual, and also we compute
them for some bicomplex sequence spaces
Acknowledgements
The authors thank the referee(s) for very careful reading of the manuscript and many valuable suggestions that improved the paper by much.
References
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Articles in the same Issue
- Frontmatter
- On the Laplace transform
- An uncertainty principle for the windowed Bochner–Fourier transform with the complex-valued window function
- Controllability result in α-norm for some impulsive partial functional integrodifferential equation with infinite delay in Banach spaces
- Polynomial convergence of iterations of certain random operators in Hilbert space
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- A note on Köthe–Toeplitz duals and multiplier spaces of sequence spaces involving bicomplex numbers
- A brief survey on the development and applications of Goebel’s coincidence point theorem in differential and integral equations
- Boundary controllability for variable coefficients one-dimensional wave equation with interior degeneracy
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- Statistically convergent difference sequences of bi-complex numbers
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Articles in the same Issue
- Frontmatter
- On the Laplace transform
- An uncertainty principle for the windowed Bochner–Fourier transform with the complex-valued window function
- Controllability result in α-norm for some impulsive partial functional integrodifferential equation with infinite delay in Banach spaces
- Polynomial convergence of iterations of certain random operators in Hilbert space
- Trigonometric approximation of signals (functions) belonging to certain Lipschitz spaces using C δ.C operator
- Almost compactness in neutrosophic topological spaces
- Some results for a weakly coupled system of semi-linear structurally damped σ-evolution equations
- On the stochastic elliptic equations involving fractional derivative
- A note on Köthe–Toeplitz duals and multiplier spaces of sequence spaces involving bicomplex numbers
- A brief survey on the development and applications of Goebel’s coincidence point theorem in differential and integral equations
- Boundary controllability for variable coefficients one-dimensional wave equation with interior degeneracy
- On random pairwise comparisons matrices and their geometry
- Statistically convergent difference sequences of bi-complex numbers
- On some inequalities concerning polynomials with restricted zeros
- New retarded nonlinear integral inequalities of Gronwall–Bellman–Pachpatte type and their applications
- On a new variant of cyclic (noncyclic) condensing operators with existence of optimal solutions to an FDE
- Exponential stability of non-conformable fractional-order systems
