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An strongly open set which is not measurable in the weak operator topology.

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#functional-analysis #operator-algebras #c-star-algebras
53
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Is the hermitian condition a must?

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#real-analysis #functional-analysis #c-star-algebras #banach-algebras
267
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Is there an example of a non von Neumann algebra with this property?

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#functional-analysis #operator-theory #operator-algebras #c-star-algebras #von-neumann-algebras
2k
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What is the motivation for Murray-von Neumann equivalence

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#operator-algebras #c-star-algebras #von-neumann-algebras
1.2k
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square root of positive elements preserve order

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#spectral-theory #c-star-algebras
478
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To prove that $C_0(X)$ is a $C^*$-algebra, is it necessary to assume that $X$ is a locally compact Hausdorff space?

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#functional-analysis #c-star-algebras
75
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Is the index of a Fredholm operator in a $C^*$-algebra independent of the choice of representation?

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#functional-analysis #operator-theory #operator-algebras #c-star-algebras
438
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What are the projections of a commutative C* algebra?

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#functional-analysis #operator-theory #c-star-algebras
203
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Projections and projective modules of $C(X)$

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#c-star-algebras #projective-module #topological-k-theory
73
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About a relation between isometries

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#operator-theory #hilbert-spaces #operator-algebras #c-star-algebras
105
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Toeplitz operators on $\ell_p$ modulo compact operators

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#operator-theory #c-star-algebras #banach-algebras
657
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Gelfand transform on functions

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#functional-analysis #c-star-algebras #banach-algebras #gelfand-representation
279
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Pure states on $C(X)$ are exactly evaluations

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#measure-theory #representation-theory #c-star-algebras
679
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Understanding Operator Norm of Matrices

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#linear-algebra #functional-analysis #operator-theory #c-star-algebras
332
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Showing the sum of a C* subalgebra and ideal is itself a C* subalgebra

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#functional-analysis #ideals #c-star-algebras #banach-algebras

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