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Algebras of operators on Hilbert space, $C^*-$algebras, von Neumann algebras, non-commutative geometry
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A norm one projection
Let $\mathcal{H}$ be Hilbert space and $\mathfrak{B(}\mathcal{H}\mathcal{)}$ of all bounded linear operators on $\mathcal{H}$. Let $\mathcal{A}$ be a maximal commutative sub-algebra of $\mathfrak{B(}\ …
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modul projection map
Let H be a Hilbert space and B(H)be space bounded linear operators on H. Let A be a commutative maximal sub-algebra of B(H). Is there a conditional expectation ( a norm one projection) from B(H) to A? …