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closed ideal in a $C^*$- algebra

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#operator-theory #operator-algebras #c-star-algebras
88
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Free probability and projections

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#operator-theory #operator-algebras #trace #von-neumann-algebras #projection
153
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Convergent sequence of functions and compact set contains the spectrum of the limit

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#real-analysis #complex-analysis #functional-analysis #operator-algebras
1.3k
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Finite rank operators on Hilbert spaces

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#functional-analysis #operator-theory #hilbert-spaces #operator-algebras #compact-operators
35
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$a=cc^*c$ for some $c$. $a \in A$ a $C^*$ algebra.

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#functional-analysis #operator-algebras #adjoint-operators
131
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$K$-Theory of operators I, Higson notes

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#operator-algebras #k-theory #topological-k-theory
132
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GNS representation

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#operator-theory #operator-algebras #c-star-algebras
106
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find all ideals of direct sum of simple $C^*$ algebras

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#operator-theory #operator-algebras #c-star-algebras
291
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Adjoint of Bounded Below Operator

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#functional-analysis #eigenvalues-eigenvectors #operator-theory #operator-algebras
63
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GNS representation of a nuclear $C^*$-algebra

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#functional-analysis #operator-theory #operator-algebras #c-star-algebras
260
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a question on the definition of direct sum of $C^*$ algebras

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#operator-theory #operator-algebras #c-star-algebras
53
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Relation between spectrum of an operator and its cut down

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#operator-theory #operator-algebras #spectral-theory #von-neumann-algebras
1.4k
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Spectrum of a self-adjoint compact operator

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#hilbert-spaces #operator-algebras #spectral-theory
121
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Why does this trick to derive the formula for $[A^n,B]$ in terms of repeated commutators work so well?

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#linear-algebra #matrices #operator-algebras #noncommutative-algebra
43
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Extension of an automorphism to its predual

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#operator-algebras #von-neumann-algebras

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