Results 11 to 20 of about 328 (56)
On topological properties of spaces obtained by the double band matrix
Open Mathematics, 2017 Let λ denote any one of the spaces ℓ∞ and ℓp and λ(Ť) be the domain of the band matrix Ť. We study ℓp(Ť) for 1 ≤ p ≤ ∞ and give some inclusions and its topological properties.
Zeren Suzan, Bektaş Çiğdem
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$q$-Frequent hypercyclicity in spaces of operators [PDF]
, 2016 We provide conditions for a linear map of the form $C_{R,T}(S)=RST$ to be $q$-frequently hypercyclic on algebras of operators on separable Banach spaces.
Gupta, Manjul, Mundayadan, Aneesh
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On the Banach algebra ℬ(lp(α))
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 60, Page 3187-3203, 2004., 2004 We give some properties of the Banach algebra of bounded operators ℬ(lp(α)) for 1 ≤ p ≤ ∞, where lp(α) = (1/α) −1∗lp. Then we deal with the continued fractions and give some properties of the operator Δh for h > 0 or integer greater than or equal to one mapping lp(α) into itself for p ≥ 1 real. These results extend, among other things, those concerning
Bruno de Malafosse
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International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 28, Page 1783-1801, 2003., 2003 We characterize the spaces sα(Δ), sα∘(Δ), and sα(c)(Δ) and we deal with some sets generalizing the well‐known sets w0(λ), w∞(λ), w(λ), c0(λ), c∞(λ), and c(λ).
Bruno de Malafosse
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Topological duals of some paranormed sequence spaces
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 30, Page 1883-1897, 2003., 2003 Let P = (pk) be a bounded positive sequence and let A = (ank) be an infinite matrix with all ank ≥ 0. For normed spaces E and Ek, the matrix A generates the paranormed sequence spaces [A, P] ∞((Ek)), [A, P] 0((Ek)), and [A, P]((E)), which generalise almost all the well‐known sequence spaces such as c0, c, lp, l∞, and wp.
Nandita Rath
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On β‐dual of vector‐valued sequence spaces of Maddox
International Journal of Mathematics and Mathematical Sciences, Volume 30, Issue 7, Page 383-392, 2002., 2002 The β‐dual of a vector‐valued sequence space is defined and studied. We show that if an X‐valued sequence space E is a BK‐space having AK property, then the dual space of E and its β‐dual are isometrically isomorphic. We also give characterizations of β‐dual of vector‐valued sequence spaces of Maddox ℓ(X, p), ℓ∞(X, p), c0(X, p), and c(X, p).
Suthep Suantai, Winate Sanhan
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Integrated and differentiated sequence spaces [PDF]
, 2014 In this paper, we investigate integrated and differentiated sequence spaces which emerge from the concept of the space bv of sequences of bounded variation.The integrated and differentiated sequence spaces which was initiated by Goes and Goes.
Kirişci, Murat
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Vector‐valued sequence spaces generated by infinite matrices
International Journal of Mathematics and Mathematical Sciences, Volume 26, Issue 9, Page 547-560, 2001., 2001 Let A = (ank) be an infinite matrix with all ank ≥ 0 and P a bounded, positive real sequence. For normed spaces E and Ek the matrix A generates paranormed sequence spaces such as [A,P]∞((Ek)), [A,P]0((Ek)), and [A, P](E) which generalize almost all the existing sequence spaces, such as l∞, c0, c, lp, wp, and several others.
Nandita Rath
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On matrix transformations concerning the Nakano vector‐valued sequence space
International Journal of Mathematics and Mathematical Sciences, Volume 26, Issue 11, Page 671-678, 2001., 2001 We give the matrix characterizations from Nakano vector‐valued sequence space ℓ(X, p) and Fr(X, p) into the sequence spaces Er, ℓ∞, ℓ¯∞(q), bs, and cs, where p = (pk) and q = (qk) are bounded sequences of positive real numbers such that Pk > 1 for all k ∈ ℕ and r ≥ 0.
Suthep Suantai
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International Journal of Mathematics and Mathematical Sciences, Volume 28, Issue 1, Page 9-23, 2001., 2001 The paper aims to develop for sequence spaces E a general concept for reconciling certain results, for example inclusion theorems, concerning generalizations of the Köthe‐Toeplitz duals E×(×∈{α, β}) combined with dualities (E, G), G ⊂ E×, and the SAK‐property (weak sectional convergence).
Johann Boos, Toivo Leiger
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