HILBERT space L,(D) where the coefficients always fulfil the following conditions. ## i) ii) a@), q(z) E Cl(l2) and real-valued, a&) = a@), x E D, ( 7) Denoting the domain of the FRIEDRICHS extension A by D(A) we have W ) r H A . 5 mR"). 1) W#W) is the completion of Com(Rn) in the norm Ilullw&BT8
✦ LIBER ✦
Discreteness of the Spectrum of Second-Order Differential Operators and Associated Embedding Theorems
✍ Scribed by Branko Ćurgus; Thomas T Read
- Publisher
- Elsevier Science
- Year
- 2002
- Tongue
- English
- Weight
- 239 KB
- Volume
- 184
- Category
- Article
- ISSN
- 0022-0396
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## Abstract A general construction for the Friedrichs extension of symmetric semi‐bounded block operators with not necessarily bounded entries, acting in the product of Hilbert spaces has been given by Konstantinov and Mennicken via the form There the entry __A__ was assumed to be essentially sel