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Give an example of a linear operator without cyclic vectors

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#linear-algebra #linear-transformations #operator-theory #operator-algebras
40
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The positive part of an element in a von Neumann algebra

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#operator-algebras #c-star-algebras #von-neumann-algebras
90
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If $p\leq q$ then $pq=p$ where p and q are projections in a Hilbert space

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#functional-analysis #operator-theory #operator-algebras
75
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Positivity in non-unital $C^*$-algebras

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#operator-algebras #c-star-algebras
39
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Comparision of range projections of elements in a von Neumann algebra

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#operator-algebras #von-neumann-algebras
29
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The range projection of equivalent elements in a von Neumann algebra

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#operator-algebras #von-neumann-algebras
27
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Check the range projection of an element in a von Neumann algebra has infinite trace

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#operator-algebras #von-neumann-algebras
169
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Dominated by compact operator implies compact?

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#functional-analysis #operator-algebras
66
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halving an infinite projection in a von Neumann algebra

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#operator-algebras #von-neumann-algebras
30
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Trying to understand definition of ternary ring of operator

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#functional-analysis #operator-theory #operator-algebras
61
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Why is multiplication of operator not continuous in the strong operator topology?

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#functional-analysis #analysis #operator-theory #operator-algebras
78
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In a C*algebra, the set of extreme points of $\bar{B}_{1}$ coincides with the group of unitary elements

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#functional-analysis #operator-theory #operator-algebras #c-star-algebras
77
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Faithfulness of a given operator family on von Neumann tensor product

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#operator-algebras #c-star-algebras #von-neumann-algebras
49
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Can we say that $\|e_i a e_i - a\| \to 0\ $?

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#operator-algebras #c-star-algebras
83
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Range of trace of projections in II$_1$ factor

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#operator-algebras #trace #von-neumann-algebras

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