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15
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Unitization of a $C^{*}$-algebra - completeness of the constructed norm

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#operator-theory #operator-algebras #c-star-algebras #banach-algebras #complete-spaces
199
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spectrum of compact forward weighted shift

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#functional-analysis #operator-theory #operator-algebras #spectral-theory #banach-algebras
95
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normality of unilateral forward shift

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#functional-analysis #operator-theory #operator-algebras #spectral-theory #banach-algebras
269
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Find the spectrum and eigenvalues of an operator

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#functional-analysis #operator-theory #operator-algebras #spectral-theory #banach-algebras
80
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GNS constructions of two faithful positive linear functional

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#operator-algebras #c-star-algebras
135
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Show the unilateral forward shift is essentially normal

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#functional-analysis #operator-theory #operator-algebras
73
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Find a condition for the unilateral forward shift

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#functional-analysis #operator-theory #operator-algebras #banach-algebras
122
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Theorem on Spectrum, point spectrum and the Calkin algebra

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#functional-analysis #operator-theory #operator-algebras #spectral-theory #banach-algebras
30
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$\sigma_{\mathcal{A}}(y) \nsubseteq B_r(\sigma_{\mathcal{A}}(x))$

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#functional-analysis #operator-algebras #banach-algebras
36
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Looking for a counterexample regarding operator norm and spectra

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#functional-analysis #operator-algebras
203
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Find the essential spectrum $\sigma_e(T)$

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#functional-analysis #operator-theory #operator-algebras
287
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Show an isometry is unitarily equivalent to a shift (Wold decomposition).

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#functional-analysis #operator-theory #operator-algebras
65
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Show that a certain net converges in a von Neumann algebra.

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#functional-analysis #convergence-divergence #operator-algebras #von-neumann-algebras
258
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Finite rank nilpotent operators

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#functional-analysis #operator-theory #operator-algebras #compact-operators
109
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A bilateral weighted shift $T$ with $\sigma(T) =$ unit circle

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#functional-analysis #operator-theory #operator-algebras

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