Mixing
Proof that for a strongly continuous contraction resolvent, there is exactly one linear operator that...
$begingroup$
I have questions about the proof of the following Proposition from the book Introduction to the Theory of Non-Symmetric Dirichlet forms.
First, how do we get the independence of $G_alpha (B)$ of $alpha$ by 1.4(iii) and that each $G_alpha$ is one-to-one by 1.4(i) and 1.4(iii)?
Second, once we conclude that $alpha - G_alpha^{-1} = beta - G_beta^{-1}$, how do we get that $D(L)=G_alpha (B)$ is dense in $B$ by 1.4 (i)?
I would greatly appreciate any help.
functional-analysis analysis semigroup-of-operators
edited Feb 1 at 12:10
Pedro
10.9k23475
asked Nov 15 '18 at 14:49
takecaretakecare
2,38321541
$endgroup$
add a comment |
$begingroup$
I have questions about the proof of the following Proposition from the book Introduction to the Theory of Non-Symmetric Dirichlet forms.
First, how do we get the independence of $G_alpha (B)$ of $alpha$ by 1.4(iii) and that each $G_alpha$ is one-to-one by 1.4(i) and 1.4(iii)?
Second, once we conclude that $alpha - G_alpha^{-1} = beta - G_beta^{-1}$, how do we get that $D(L)=G_alpha (B)$ is dense in $B$ by 1.4 (i)?
I would greatly appreciate any help.
functional-analysis analysis semigroup-of-operators
edited Feb 1 at 12:10
Pedro
10.9k23475
asked Nov 15 '18 at 14:49
takecaretakecare
2,38321541
$endgroup$
add a comment |
$begingroup$
I have questions about the proof of the following Proposition from the book Introduction to the Theory of Non-Symmetric Dirichlet forms.
First, how do we get the independence of $G_alpha (B)$ of $alpha$ by 1.4(iii) and that each $G_alpha$ is one-to-one by 1.4(i) and 1.4(iii)?
Second, once we conclude that $alpha - G_alpha^{-1} = beta - G_beta^{-1}$, how do we get that $D(L)=G_alpha (B)$ is dense in $B$ by 1.4 (i)?
I would greatly appreciate any help.
functional-analysis analysis semigroup-of-operators
edited Feb 1 at 12:10
Pedro
10.9k23475
asked Nov 15 '18 at 14:49
takecaretakecare
2,38321541
$endgroup$
I have questions about the proof of the following Proposition from the book Introduction to the Theory of Non-Symmetric Dirichlet forms.
First, how do we get the independence of $G_alpha (B)$ of $alpha$ by 1.4(iii) and that each $G_alpha$ is one-to-one by 1.4(i) and 1.4(iii)?
Second, once we conclude that $alpha - G_alpha^{-1} = beta - G_beta^{-1}$, how do we get that $D(L)=G_alpha (B)$ is dense in $B$ by 1.4 (i)?
I would greatly appreciate any help.
functional-analysis analysis semigroup-of-operators
functional-analysis analysis semigroup-of-operators
edited Feb 1 at 12:10
Pedro
10.9k23475
asked Nov 15 '18 at 14:49
takecaretakecare
2,38321541
edited Feb 1 at 12:10
Pedro
10.9k23475
asked Nov 15 '18 at 14:49
takecaretakecare
2,38321541
edited Feb 1 at 12:10
Pedro
10.9k23475
edited Feb 1 at 12:10
Pedro
10.9k23475
edited Feb 1 at 12:10
Pedro
10.9k23475
10.9k23475
asked Nov 15 '18 at 14:49
takecaretakecare
2,38321541
asked Nov 15 '18 at 14:49
takecaretakecare
2,38321541
asked Nov 15 '18 at 14:49
takecaretakecare
2,38321541
2,38321541
add a comment |
add a comment |
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