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Nonnegative selfadjoint extensions of nonnegative relations

Schoonveld, V.H. (2013) Nonnegative selfadjoint extensions of nonnegative relations. Master's Thesis / Essay, Mathematics.

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In this thesis the nonnegative selfadjoint extensions of nonnegative relations are considered. A nonnegative relation S has two important nonnegative selfadjoint extensions: the Friedrichs extension S_F and the Krein-von Neumann extension S_N. It is shown that these are extremal by Krein's inequalities. Using an auxilairy space it is shown that they have a factorization of the form S_N = J**J* and S_F = Q*Q**. The extremal nonnegative selfadjoint extensions are factorized in a similar way via T*T**, with Q in T in J*. Furthermore an application with differential operators on intervals with compact closure is considered.

Item Type: Thesis (Master's Thesis / Essay)
Degree programme: Mathematics
Thesis type: Master's Thesis / Essay
Language: English
Date Deposited: 15 Feb 2018 07:55
Last Modified: 15 Feb 2018 07:55

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