𝔖 Bobbio Scriptorium
✦   LIBER   ✦

The Dunkl–Williams equality in pre-Hilbert C∗-modules

✍ Scribed by Josip Pečarić; Rajna Rajić

Book ID
104037009
Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
166 KB
Volume
425
Category
Article
ISSN
0024-3795

No coin nor oath required. For personal study only.

✦ Synopsis

In this paper we consider the case of equality in some generalizations of the Dunkl-Williams inequality for elements of a pre-Hilbert C * -module.

📜 SIMILAR VOLUMES

On some norm equalities in pre-Hilbert C
On some norm equalities in pre-Hilbert C*-modules
✍ Ljiljana Arambašić; Rajna Rajić 📂 Article 📅 2006 🏛 Elsevier Science 🌐 English ⚖ 127 KB

We characterize when the norm of the sum of two elements in a pre-Hilbert C \* -module equals the sum of their norms. We also give the necessary and sufficient conditions for two orthogonal elements of a pre-Hilbert C \* -module to satisfy Pythagoras' equality.