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Takesaki corollary 3.6

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#functional-analysis #operator-theory #operator-algebras #von-neumann-algebras
124
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Cayley transform is well-defined

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#functional-analysis #operator-theory #operator-algebras #c-star-algebras
190
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Takesaki lemma 4.5

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#functional-analysis #operator-theory #operator-algebras #c-star-algebras #von-neumann-algebras
141
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Jordan decomposition in Takesaki: theorem III.2.2.1

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#functional-analysis #operator-theory #operator-algebras #c-star-algebras
71
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An application of Hahn-Banach theorem in the context of $C^{\ast}$-algebra.

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#operator-algebras #c-star-algebras #hahn-banach-theorem
33
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Restriction of state on unitisation

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#functional-analysis #operator-theory #operator-algebras #c-star-algebras
79
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Is $\|\varphi\| = \|\varphi p\| + \|\varphi(1-p)\|$?.

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#functional-analysis #operator-theory #operator-algebras #c-star-algebras #von-neumann-algebras
45
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What are examples of operators showing that convergence in the strong operator topology doesn't behave well?

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#functional-analysis #operator-algebras
73
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The annihilators in dual operator algebras.

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#functional-analysis #operator-algebras #von-neumann-algebras
92
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Nuclearity of finite dimensional $C^*$-algebras

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#operator-algebras #c-star-algebras
43
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$\omega_1(p) \le \omega_2(p)$ for all projections $p$ implies $\omega_1 \le \omega_2$.

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#operator-theory #operator-algebras #c-star-algebras #von-neumann-algebras
386
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Hahn-Banach extension of positive functional is positive

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#functional-analysis #operator-algebras #c-star-algebras #von-neumann-algebras #hahn-banach-theorem
69
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Crossed product of a rational rotation on $S^1$

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#finite-groups #operator-algebras
77
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Takesaki II: lemma 1.2

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#functional-analysis #operator-algebras #c-star-algebras #von-neumann-algebras
70
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Perturbing a partial isometry to part of a unitary

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#operator-algebras #von-neumann-algebras

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