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Does Hilbert $C^*$-modules have orthonormal basis?

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#functional-analysis #inner-products #operator-algebras #c-star-algebras #hilbert-modules
82
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The center of a von Neumann algebra may or may not have minimal projections

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#functional-analysis #operator-algebras #c-star-algebras #von-neumann-algebras
42
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MASA in separable hyperfinite type II_1 factor

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#operator-theory #operator-algebras #von-neumann-algebras
47
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affiliated operator lies in the von neumann algebra

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#operator-algebras #von-neumann-algebras
65
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Toeplitz Operators Generate Compacts

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#functional-analysis #operator-algebras #compact-operators
64
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$M\xi$ forms a unital Hilbert algebra for some cyclic-separating vector $\xi$

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#operator-theory #operator-algebras #c-star-algebras #von-neumann-algebras
95
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Series of operators

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#sequences-and-series #operator-algebras #c-star-algebras #noncommutative-algebra #quantum-field-theory
59
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Do semicircular families exist?

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#probability-theory #operator-theory #operator-algebras #cumulants
37
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spectral projection of the (unbounded) self-adjoint affiliated operator

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#operator-algebras #von-neumann-algebras
43
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finite projection in a semifinite von Neumann algebra

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#operator-algebras #von-neumann-algebras
93
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The algebra of all bounded linear operators acting on a complex Banach space is a prime algebra.

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#abstract-algebra #functional-analysis #operator-algebras #banach-algebras #hahn-banach-theorem
129
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How to show that a map is positive (positive-preserving) iff it's dual is also positive?

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#linear-algebra #matrices #operator-algebras
191
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A factor von Neumann algebra is a prime algebra.

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#functional-analysis #operator-algebras #c-star-algebras #von-neumann-algebras #hahn-banach-theorem
64
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Approximating a self adjoint element with invertible elements

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#operator-theory #operator-algebras #c-star-algebras
56
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Nuclear $C^*$-algebras have the WEP-property.

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

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