𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On the LP space of observables

✍ Scribed by Beloslav Riečan

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
283 KB
Volume
105
Category
Article
ISSN
0165-0114

No coin nor oath required. For personal study only.

✦ Synopsis

A space of fuzzy sets M is considered as a base of a quantum structure model (fuzzy quantum logic, see Rie~an and Neubrunn, Integral, Measure and Ordering, Kluwer, Dordrecht, 1997). A state is a morphism from M to the unit interval, an observable is a morphism from Borel sets to M. The subspace Z p of observables is studied and it is proved that L p considered with the corresponding pseudometric is a complete pseudometric space. (~) 1999 Elsevier Science B.V. All rights reserved.

📜 SIMILAR VOLUMES

On the Space lp+ = ∩lqq>p
On the Space lp+ = ∩lqq>p
✍ G. Metafune; V. B. Moscatelli 📂 Article 📅 1990 🏛 John Wiley and Sons 🌐 English ⚖ 252 KB
On isometries in Lp spaces
On isometries in Lp spaces
✍ Juan Carlos Merlo 📂 Article 📅 1975 🏛 Elsevier Science 🌐 English ⚖ 147 KB
On the Mehler-Fock Transform in Lp-Space
On the Mehler-Fock Transform in Lp-Space
✍ Semën B. Yakubovich; Megumi Saigo 📂 Article 📅 2009 🏛 John Wiley and Sons 🌐 English ⚖ 596 KB

## Abstract The present paper is devoted to study the transform by the index of the Legendre function which is known as the Mehler‐Fock transform. Mapping properties of the Mehler‐Fodr transform in the weighted space __L__~__p__~(ω(__t__); IR~+~) are given as the inversion formula. The image space