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mma
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Could someone shortly summarise the essence of Stone's theorem ? What is the difference between Stone's theorem and the statement "the Lie-algebra of the group of orthogonal matrices consists of skew-symmetric matrices"? How Stone's theorem is related to the general notion of the exponential map between Lie-algebras and Lie-groups? What is the essential difference between Stone's theorem and its corresponding version for the finite dimensional orthogonal group? What is the significance of the strongly continuity of the one-parameter unitary subgroup? What can we say about the one-parameter subgroups that are not strongly continuous?
I would greatly appreciate if somebody could enlighten me.
*Edit
I would greatly appreciate if somebody could enlighten me.
*Edit
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