Im an applied statistician who hasnt looked at this stuff in years (And even then never took a class in it formally). So try and forgive me if my language is sloppy.(adsbygoogle = window.adsbygoogle || []).push({});

Consider the space of all d-dimensional bounded random vectors, L_infinity. Its Banach, hence complete and closed.

Consider a single fixed d-dimensional random vector in L1. Lets call it X.

Is the set

{aX : a is in L_infinity} necessarily closed? Here Im considering the dot product so that aX is a random variable.

Any help, references, etc would be greatly appreciated.

Best regards,

--Scott

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Question about Lp spaces

Can you offer guidance or do you also need help?

Draft saved
Draft deleted

**Physics Forums | Science Articles, Homework Help, Discussion**