Operators in divergence form and their Friedrichs and Krein extensions

• Autorzy: Arlinskii Y. , Kovalev Y.
• Języki publikacji: EN

Abstrakty

EN

For a densely defined nonnegative symmetric operator A = L*(2)L1 in a Hilbert space, constructed from a pair L1 ⊂ L2 of closed operators, we give expressions for the Friedrichs and Krein nonnegative selfadjoint extensions. Some conditions for the equality (L*(2)L1)* = L*(1)L2 are obtained. Applications to 1D nonnegative Hamiltonians, corresponding to point interactions, are given.

Słowa kluczowe

EN

symmetric operator; divergence form; Friedrichs extension; Krein extension

• Wydawca: AGH University of Science and Technology Press
• Czasopismo: Opuscula Mathematica
• Rocznik: 2011
• Tom: Vol. 31, no. 4
• Strony: 501--517
• Opis fizyczny: Bibliogr. 28 poz.

Twórcy

autor

Arlinskii Y.

autor

Kovalev Y.

• East Ukrainian National University Department of Mathematical Analysis Kvartal Molodyozhny 20-A, Lugansk 91034, Ukraine,

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