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On the Friedrichs extension of some block operator matrices

✍ Scribed by Alexei Konstantinov; Reinhard Mennicken

Publisher
SP Birkhäuser Verlag Basel
Year
2002
Tongue
English
Weight
385 KB
Volume
42
Category
Article
ISSN
0378-620X

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📜 SIMILAR VOLUMES

On the absolutely continuous spectrum of
On the absolutely continuous spectrum of block operator matrices
✍ Sergio Albeverio; Alexei Konstantinov 📂 Article 📅 2008 🏛 John Wiley and Sons 🌐 English ⚖ 129 KB 👁 1 views

## Abstract We prove an abstract theorem on the preservation of the absolutely continuous spectrum for block operator matrices. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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✍ H.L. Pedersen 📂 Article 📅 1995 🏛 Elsevier Science 🌐 English ⚖ 567 KB

For an indeterminate Stielijes moment sequence the multiplication operator \(M p(x)=x p(x)\) is positive definite and has self-adjoint extensions. Exactly one of these extensions has the same lower bound as \(M\). the so-called Friedrichs extension. The spectral measure of this extension gives a cer