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Compatible lattice orders and linear operators on Rn

✍ Scribed by Boris Lavri^č

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
765 KB
Volume
285
Category
Article
ISSN
0024-3795

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✦ Synopsis

The lattice orders on R" that are compatible with the vector space structure are characterized in terms of bases of R". The index of the elements of a space R" equipped with a compatible lattice order is introduced, and used to characterize isotone linear operators acting on spaces with given compatible lattice orders.

📜 SIMILAR VOLUMES

M -elliptic pseudo-differential operator
M -elliptic pseudo-differential operators on Lp(ℝn)
✍ M. W. Wong 📂 Article 📅 2006 🏛 John Wiley and Sons 🌐 English ⚖ 140 KB

## Abstract We construct the minimal and maximal extensions in __L__ ^__p__^ (ℝ^__n__^ ), 1 < __p__ < ∞, for __M__ ‐elliptic pseudo‐differential operators initiated by Garello and Morando. We prove that they are equal and determine the domains of the minimal, and hence maximal, extensions of __M__