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Which Banach algebras $A$ have properties $A \neq [A, A]$ and $A=\overline{[A, A]}$?

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#abstract-algebra #functional-analysis #operator-algebras
75
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Positive elements with norm 1 in unital C*-algebra

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#operator-algebras #c-star-algebras
64
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The inequality for the conditional expectation in a von Neumann algebra

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#operator-algebras #von-neumann-algebras
40
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If $0\le a\le p$ in a von Neumann algebra then $a \in pMp$

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#functional-analysis #operator-algebras #projection #von-neumann-algebras
30
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Find a projection in a type III$_1$ factor

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#operator-algebras #von-neumann-algebras
64
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Jordan decomposition of a normal linear functional

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#operator-algebras #von-neumann-algebras
52
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Strong operator topology is a topology proof

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#general-topology #functional-analysis #analysis #operator-theory #operator-algebras
54
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Neighbourhood system for strong operator topology

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#general-topology #functional-analysis #analysis #operator-theory #operator-algebras
74
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Understanding the notation $\ell^1(\Gamma)$

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#operator-algebras
44
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Support projection of a normal state

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#operator-algebras #von-neumann-algebras
78
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How to choose such self-adjoint operators here.

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#operator-theory #operator-algebras #spectral-theory
55
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Showing that an element of a Real Banach Algebra is invertible

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#operator-algebras #banach-algebras
163
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Initial Topology and Weak and Strong Operator Topology

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#functional-analysis #operator-theory #operator-algebras #weak-convergence #pointwise-convergence
149
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Spectrum of normal operators on a Hilbert space

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#operator-algebras #banach-algebras
90
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Conditions for $\mathcal{M}(A\bigotimes_{\min} B)\cong A\bigotimes_{\min} \mathcal{M}(B)$

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#operator-theory #operator-algebras #c-star-algebras

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