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15
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Bound sesquilinear form $C*$-algebras

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#normed-spaces #c-star-algebras #sesquilinear-forms
288
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If $a$ is invertible in a unital C$ ^*$-algebra, then $a^{-1} \in C^*(a)$

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#c-star-algebras
85
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Why is this element invertible?

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#functional-analysis #operator-theory #operator-algebras #c-star-algebras
239
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Exercise 4.1.4 from Brown and Ozawa

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#functional-analysis #operator-theory #operator-algebras #c-star-algebras
168
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The C* algebra generated by $T$ has no projection?

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#operator-theory #operator-algebras #c-star-algebras
120
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Find an infinite family of operators that are not pairwise unitarily equivalent

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#operator-theory #operator-algebras #c-star-algebras
126
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Showing that $B_0(H)^{**}= B(H)$

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#functional-analysis #operator-algebras #c-star-algebras #dual-spaces #von-neumann-algebras
51
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Trying to understand the proof of Theorem $9.4.1$ from Effros-Ruan book

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#operator-theory #operator-algebras #c-star-algebras
50
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The tensor product of two representation is also a representation

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#functional-analysis #operator-algebras #c-star-algebras
60
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Invertibility of an operator constructed from the shift operator

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#functional-analysis #hilbert-spaces #operator-algebras #c-star-algebras
120
Views

GNS Construction Proof

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#functional-analysis #c-star-algebras
40
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Proof Assistance In C* Algebras By Murphy

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#functional-analysis #analysis #proof-explanation #operator-theory #c-star-algebras
29
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A question regarding sequence in the span

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#functional-analysis #c-star-algebras
73
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Every representation of a $C^*$-algebra lifts to a representation of double dual $A^{**}$

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#representation-theory #c-star-algebras
87
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K-Theory of $C(X)$ for $X$ not totally disconnected

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

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