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Extending $\|H^{\frac{1}{2}}XK^{\frac{1}{2}}\|\leq\frac{1}{2}\|HX+XK\|$ from matrices to operators

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#matrices #functional-analysis #operator-theory #normed-spaces #operator-algebras
67
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Hilbert C*-Modules: Inner *-Isomorphisms

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#functional-analysis #operator-algebras #c-star-algebras
119
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Showing a C* algebra with certain properties has a minimal projection

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#operator-algebras #c-star-algebras
195
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Universal enveloping von Neumann algebra of a separable $C^*$ algebra

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#functional-analysis #operator-algebras #c-star-algebras #von-neumann-algebras
34
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Dimension of kernel of closure of an unbounded operator

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#functional-analysis #operator-theory #hilbert-spaces #operator-algebras
47
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embedding $L(H_1) \hookrightarrow L(H_1 \otimes H_2)$

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#functional-analysis #operator-theory #hilbert-spaces #operator-algebras
89
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GNS construction I

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#operator-theory #operator-algebras #functional-calculus
678
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Injective $*$-homomorphism is isometric

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#functional-analysis #operator-theory #operator-algebras #c-star-algebras
89
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Apparently a catastrophe: unital injective *-Hom implies factorization of Algebra into tensor product

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#tensor-products #operator-algebras #von-neumann-algebras
146
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Applying functional calculus to the bounded operator $(T \pm iI)^{-1} $

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#functional-analysis #operator-theory #operator-algebras #functional-calculus
95
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double commutant of the left representation of $C^*$ algebra

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#operator-theory #operator-algebras #c-star-algebras #von-neumann-algebras
236
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A short exact sequence of $C^*$ algebras

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#algebraic-topology #operator-theory #homotopy-theory #operator-algebras
190
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Homotopy between unitary element and identity elements, Operator Theory

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#algebraic-topology #operator-theory #operator-algebras #exact-sequence
111
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How does one prove $C([0,1)\otimes A \cong C([0,1],A)$?

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#functional-analysis #algebraic-topology #operator-theory #operator-algebras
262
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$K$ theory of $C^*$ algebra is different to algebraic $K$ Theory?

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#operator-theory #operator-algebras #k-theory #topological-k-theory #algebraic-k-theory

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