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Let $A = {(a_{n, k})}_{n, k \geq 1}$ be a non-negative matrix. Denote by $L_{v, p, q, F} (A)$ the supremum of those $L$ that satisfy the inequality ${∥ A x ∥}_{v, q, F} \geq L {∥ x ∥}_{v, p, F},$ where $x \geq 0$ and $x \in l_{p} (v, F)$ and also $v = {(v_{n})}_{n = 1}^{\infty}$ is an increasing, non-negative sequence of real numbers. If $p = q$ , we use $L_{v, p, F} (A)$ instead of $L_{v, p, p, F} (A)$ . In this paper we obtain a Hardy type formula for $L_{v, p, q, F} (H_{μ})$ , where $H_{μ}$ is a Hausdorff matrix and $0 < q \leq p \leq 1$ . Another purpose of this paper is to establish a lower bound for $∥ A_{W}^{N M} ∥_{v, p, F}$ , where $A_{W}^{N M}$ is the Nörlund matrix associated with the sequence $W = {w_{n}}_{n = 1}^{\infty}$ and $1 < p < \infty$ . Our results generalize some works of Bennett, Jameson and present authors....

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$ℓ_{1}$ -continuous partitions of unity on normed spaces

$ℓ_{1}$ -partitions of unity on normed spaces

$L_{f} (a, r)$ -spaces between which all the operators are compact. I.

$L_{f} (a, r)$ -spaces between which all the operators are compact. II.

Les fonctions affines sur ${[0, 1]}^{ℕ}$ ayant la propriété de Baire faible sont continues

Linear functionals on Orlicz sequence spaces without local convexity.

Linear operators on $c_{x}$

Locally convex spaces for which $Λ (E) = Λ [E]$ and the Dvoretsky-Rogers theorem

Locally uniformly non- $l_{n}^{(1)}$ Orlicz spaces

Lokalkonvexe Sequenzen mit kompakten Abbildungen.

Lower bound and upper bound of operators on block weighted sequence spaces

$M_{r}$ -factors and $Q_{r}$ -factors for near quasi-norm on certain sequence spaces.

Mappings of positive integers and subspaces of m

Matrix transformations and almost convergence

Matrix transformations between the sequence space Bv^p and certain bk spaces

Matrix transformations between the spaces of Cesàro sequences and invariant means.

Matrix transformations involving analytic sequence spaces.

Matrix transformations involving analytic sequence spaces (Errata).

Matrix transformations on nuclear Köthe spaces

Matrixtransformationen dualer Folgenräume.

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