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I don't have the answer to your question, but I can give you the following:
$$\|\sqrt A-\sqrt B\|_\infty\le\sqrt{\|A-B\|_\infty\,}\,,$$
where the $\infty$-Schatten norm is nothing but the operator norm.
I don't have the answer to your question, but I can give you the following:
$$\|\sqrt A-\sqrt B\|_\infty\le\sqrt{\|A-B\|_\infty\,}\,,$$
where the $\infty$-Schatten norm is nothing but the operator norm.
I don't have the answer to your question, but I can give you the following:
$$\|\sqrt A-\sqrt B\|_\infty\le\sqrt{\|A-B\|_\infty\,}\,,$$
where the $\infty$-Schatten norm is nothing but the operator norm.
I don't have the answer to your question, but I can give you the following:
$$\|\sqrt A-\sqrt B\|_\infty\le\sqrt{\|A-B\|_\infty\,}\,,$$
where the $\infty$-Schatten norm is nothing but the operator norm.
