List questions from c-star-algebras

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Let ‎$‎A$ ‎be a‎ ‎unital ‎$C^*‎$‎-algebra.‎

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List Question

irr. representation induced from pure, positive form on C*-algebra

Show that if , $0 \le a \le b$ , then $\|a\| \le \|b\|$

positive maps on $C^*$-algebras which are not 2-positive

The Hilbert A-modules $A$ and $A\oplus A$ are unitarily equivalent iff $\mathcal{O}_2\subseteq M(A)$

Approximate Identity: Dense Ideal

Let ‎$‎A$ ‎be a‎ ‎unital ‎$C^*‎$‎-algebra.‎

Density of orthogonal projections in $\mathcal{B}(\mathcal{H})$

$f\in C_0(X,K(H))$ and $g\in C_b^{SOT^*}(X,B(H))$ implies $fg\in C_0(X,K(H))$

Why is adjoining a unit the algebraic counterpart to the one point compactification?

Positive Elements: Unique Decomposition

Inductive limits of $C^*$-algebras

von Neumann algebra generated by the Cuntz algebra

A question about $ C‎^{*}$ -‎ algebra‎s

Bounding norms with sums of positive elements

Is the C*-algebra of bounded operators simple?

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