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Results tagged with inequalities
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user 36688
for questions involving inequalities, upper and lower bounds.
7
votes
Accepted
A matrix norm inequality II
No the norm of the left side can be very large.
For example $\left\| X^{-1}AXB \right\| $ is an unbounded function in $(x,y)$ where $A,X,B$ are the following matrices:
Put $A=B= \begi …
- 356
10
votes
1
answer
507
views
For what kind of $C^*$ algebras does the inequality $\frac{(ab+ba)}{2}\leq\frac{ a^p}{p} +\f...
Assume that $\frac{1}{p}+\frac{1}{q}=1$ for two positive real numbers $p,q$.
For what kind of $C^*$ algebras $A$ does the following hold:
$$\frac{ab+ba}{2}\leq \frac{a^p}{p}+\frac{b^q}{q}$$ $\ …
- 356