✦ LIBER ✦

Locally boundedly A-p-convex algebras

✍ Scribed by A. El Kinani; M. Oudadess

Publisher: John Wiley and Sons
Year: 2004
Tongue: English
Weight: 136 KB
Volume: 266
Category: Article
ISSN: 0025-584X
DOI: 10.1002/mana.200310141

No coin nor oath required. For personal study only.

✦ Synopsis

Abstract

We consider locally p‐convex algebras the bornologies of which coincide with the ones of p‐normed or multiplicatively p‐convex topologies. Two new classes of these algebras are introduced here. (© 2004 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

📜 SIMILAR VOLUMES

On Locally m-Convex Algebras

✍ B. D. Malviya 📂 Article 📅 1974 🏛 John Wiley and Sons 🌐 English ⚖ 326 KB

On C*-Like Locally Convex ∗-Algebras

✍ Atsushi Inoue; Klaus-Detlef Kürsten 📂 Article 📅 2002 🏛 John Wiley and Sons 🌐 English ⚖ 180 KB

Existence of well-behaved ∗-representati

Existence of well-behaved ∗-representations of locally convex ∗-algebras

✍ S. J. Bhatt; M. Fragoulopoulou; A. Inoue 📂 Article 📅 2006 🏛 John Wiley and Sons 🌐 English ⚖ 242 KB

## Abstract The following problems are investigated: (1) The existence of well‐behaved ∗︁‐representations on a ∗︁‐algebra 𝒜 equipped with an unbounded __m__ \*‐seminorm __p__ , in terms of non‐zero __p__ ‐continuous representable (positive) linear functionals on the domain 𝔇(__p__ ) of __p__ . (2)

Locally Convex Structure of Some Algebra

Locally Convex Structure of Some Algebras of Holomorphic Functions of Several Variables

✍ Marek Nawrocki 📂 Article 📅 2002 🏛 John Wiley and Sons 🌐 English ⚖ 271 KB

Approximation of a Convex Function by Co

Approximation of a Convex Function by Convex Algebraic Polynomials in Lp, 1 ≤ p < ∞

✍ M. Nikoltjevahedberg 📂 Article 📅 1993 🏛 Elsevier Science 🌐 English ⚖ 276 KB

In this paper we show that the best approximation of a convex function by convex algebraic polynomials in \(L_{p}, 1 \leqslant p<x\), is \(O\left(n^{-2 / p}\right)\). 1993 Academic Press. Inc.

Locally C∗-equivalent algebras

✍ Joachim Cuntz 📂 Article 📅 1976 🏛 Elsevier Science 🌐 English ⚖ 712 KB