scholarly journals On boundedness of four-dimensional Hausdorff matrices on the double Taylor sequence spaces

2017 ◽  
Vol 28 (5) ◽  
pp. 953-961 ◽  
Author(s):  
Gholamreza Talebi
Keyword(s):  
Sequence Spaces ◽  
Hausdorff Matrices

Some Rate Sequence Spaces

2012 ◽  
Vol 2 (10) ◽  
pp. 1-5
Author(s):  
B.Sivaraman B.Sivaraman ◽  
◽  
K.Chandrasekhara Rao ◽  
K.Vairamanickam K.Vairamanickam
Keyword(s):  
Sequence Spaces

Ideal convergent sequence spaces of fuzzy star–shaped numbers

2021 ◽  
pp. 1-8
Author(s):  
Vakeel A. Khan ◽  
Umme Tuba ◽  
SK. Ashadul Rahama ◽  
Ayaz Ahmad
Keyword(s):  
Fuzzy Sets ◽  
Convergent Sequence ◽  
Sequence Spaces ◽  
Topological Properties ◽  
Natural Numbers

In 1990, Diamond [16] primarily established the base of fuzzy star–shaped sets, an extension of fuzzy sets and numerous of its properties. In this paper, we aim to generalize the convergence induced by an ideal defined on natural numbers ℕ , introduce new sequence spaces of fuzzy star–shaped numbers in ℝ n and examine various algebraic and topological properties of the new corresponding spaces as well. In support of our results, we provide several examples of these new resulting sequences.

Entropy numbers of embedding maps between Besov spaces with an application to eigenvalue problems

1981 ◽  
Vol 90 (1-2) ◽  
pp. 63-70 ◽  
Author(s):  
Bernd Carl
Keyword(s):  
Banach Space ◽  
Asymptotic Behaviour ◽  
Besov Spaces ◽  
Eigenvalue Problems ◽  
Function Spaces ◽  
Sequence Spaces ◽  
Entropy Numbers ◽  
Diagonal Operators

SynopsisIn this paper we determine the asymptotic behaviour of entropy numbers of embedding maps between Besov sequence spaces and Besov function spaces. The results extend those of M. Š. Birman, M. Z. Solomjak and H. Triebel originally formulated in the language of ε-entropy. It turns out that the characterization of embedding maps between Besov spaces by entropy numbers can be reduced to the characterization of certain diagonal operators by their entropy numbers.Finally, the entropy numbers are applied to the study of eigenvalues of operators acting on a Banach space which admit a factorization through embedding maps between Besov spaces.The statements of this paper are obtained by results recently proved elsewhere by the author.

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