Tagged Questions
1
vote
1answer
115 views
A specific example of the GNS construction
In an introduction to the GNS construction, I'm told that the GNS construction is a generalization of the way that $L^{\infty} (X, \mu)$ has a representation on $L^2$ where $\mu$ is a measure on $X$. ...
1
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1answer
91 views
Why Strongly Continuous Representations?
When working with not-necessarily-finite-dimensional representations, the topology on $GL(V)$ makes a difference. My experience has been that usually people require that the representation $\pi ...
4
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2answers
232 views
An hermitian operator problem
It is possible to have two hermitian operators $A$ et $B$, with :
$B^2 = \mathbb{I}d$
$[A,B] = i * \mathbb{I}d$
where $i$ is the usual (complex) square root of $(-1)$, and $\mathbb{I}d$ is the ...
