problem 1 notation question

[Brendan O'Connor]

Hi, Problem 1 uses the notation

|| f ||_\infty

Is this shorthand for

|| f ||_{ L_\infty (P) }

?

The latter is the notation used in the covering numbers section of the Concentration of Measure chapter / lecture notes.

Brendan

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[Mladen Kolar]

|| f ||_\infty = \sup \{ | f(x) | \}

It is the supremum norm. The statement in the questions says that the
class of functions contains only bounded functions.

Mladen

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