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Lokalkreisförmige Vektorgruppen.

Pawel Lurje (1974)

Manuscripta mathematica

Lokaltopologische Vektorraume.

Norbert Adasch, Bruno Ernst (1974)

Collectanea Mathematica

Lokaltopologische Vektorräume II.

Norbert Adash, Bruno Ernst (1975)

Collectanea Mathematica

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

Rahmatollah Lashkaripour, Gholomraza Talebi (2012)

Czechoslovak Mathematical Journal

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....

Lusin sets and generalized spectra of topological algebras

G. A. Stavrakas (1986)

Δελτίο της Ελληνικής Μαθηματικής Εταιρίας

l(Φ,φ) operators and (Φ,φ)-spaces.

Nicolae Tita (1979)

Collectanea Mathematica

A new class of linear and bounded operators is introduced. This class is more general than the classes of operators from [4], [5] and [8]. Using this class lΦ,φ we also introduce a class of locally convex spaces which is more general than the classes of the nuclear spaces [2], [3] and φ-nuclear spaces [6]. For this class of operators similar properties are established to those of the well known classes lp, lφ, lΦ and also the stability of the tensor product is proved. The stability of the tensor...