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Finite dimensional irreducible representation

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#operator-algebras #c-star-algebras
29
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$C(K)$ $C^*$-subalgebra of $C(K')$ if $K\subseteq K'$?

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#continuity #operator-theory #operator-algebras
61
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Definition of perturbation of operator $B$ is $A$-bounded

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#functional-analysis #operator-theory #operator-algebras #perturbation-theory
442
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Show that the maximal ideal space of $l^{\infty}$ is totally disconnected.

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#operator-theory #operator-algebras #c-star-algebras #banach-algebras
353
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Show that maximal ideal space of $M_n(\mathbb{C})$ is empty?

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#operator-theory #operator-algebras #c-star-algebras #banach-algebras
112
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Complete positivity vs Positivity.

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#real-analysis #functional-analysis #operator-theory #hilbert-spaces #operator-algebras
248
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Naive questions on double duals of von Neumann algebras

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#functional-analysis #operator-algebras #von-neumann-algebras #dual-spaces
271
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If I have the minimal polynomial for $T$, is the minimal polynomial for$ T^{-1}$ the inverse of that polynomial?

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#linear-algebra #operator-algebras #minimal-polynomials
202
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Proof explanation: tensor product of operators

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#functional-analysis #operator-theory #tensor-products #operator-algebras
195
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C*-algebras explanation

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#operator-algebras #c-star-algebras
192
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C*-algebra pure states and functional calculus

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#operator-algebras #c-star-algebras #functional-calculus
190
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Can the set of Invertible elements in a C*-algebra $A$ be dense if $A$ contains a non-unitary partial isometry?

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#functional-analysis #operator-theory #hilbert-spaces #operator-algebras #c-star-algebras
100
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maximality of maximal tensor product

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#operator-theory #tensor-products #operator-algebras #c-star-algebras
19
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$H_{SO}=f(r)\overrightarrow{S}\cdot\overrightarrow{L} \,\,\,$ $[H_{SO},L_z] \neq 0$

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#hilbert-spaces #operator-algebras #quantum-mechanics
90
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On completely additive state in von Neumann algebra

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#operator-algebras #c-star-algebras #von-neumann-algebras

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