Results 21 to 30 of about 320 (58)

Second order arithmetic means in operator ideals [PDF]

, 2007
Equality of the second order arithmetic means of two principal ideals does not imply equality of their first order arithmetic means (second order equality cancellation).
Kaftal, Victor, Weiss, Gary
core   +1 more source

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
wiley   +1 more source

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
core   +2 more sources

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
wiley   +1 more source

Dual pairs of sequence spaces

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
wiley   +1 more source

On some topological properties of generalized difference sequence spaces

International Journal of Mathematics and Mathematical Sciences, Volume 24, Issue 11, Page 785-791, 2000., 2000
We obtain some topological results of the sequence spaces Δm(X), where Δm(X) = {x = (xk) : (Δmxk) ∈ X}, (m ∈ ℕ), and X is any sequence space. We compute the pα‐, pβ‐, and pγ‐duals of l∞, c, and c0 and we investigate the N‐(or null) dual of the sequence spaces Δm(l∞), Δm(c), and Δm(c0).
Mikail Et
wiley   +1 more source

Calculating norms in the spaces l∞(Γ)/c0(Γ) and l∞(Γ)/c(Γ)

International Journal of Mathematics and Mathematical Sciences, Volume 21, Issue 2, Page 413-415, 1998., 1998
We explicitly compute norms in the quotient spaces l∞(Γ)/c0(Γ) and l∞(Γ)/c(Γ).
Roman Sznajder
wiley   +1 more source

Embeddings of ultradistributions and periodic hyperfunctions in Colombeau type algebras through sequence spaces

, 2002
In a recent paper, we gave a topological description of Colombeau type algebras introducing algebras of sequences with exponential weights. Embeddings of Schwartz' spaces into the Colombeau algebra G are well known, but for ultradistribution and periodic
Delcroix, Antoine, Hasler, Maximilian F., Pilipović, Stevan, Valmorin, Vincent   +3 more
core   +1 more source

Difference sequence spaces

International Journal of Mathematics and Mathematical Sciences, Volume 21, Issue 4, Page 701-706, 1998., 1996
In [1] for r ≥ 1 is studied. In this paper, we generalize this space to Sr(p, Δ) for a sequence of strictly positive reals. We give a characterization of the matrix classes (Sr(p, Δ), ℓ∞) and (Sr(p, Δ), ℓ1).
A. K. Gaur, Mursaleen
wiley   +1 more source