Question

"The closed unit ball of an infinite-dimensional Banach space is not compact", why this does not...

"The closed unit ball of an infinite-dimensional Banach space is not compact", why this does not contradict Alaoglu's theorem?

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Prove the the closed unit ball of an infinite dimensional Banach space is not compact (use...
Prove the the closed unit ball of an infinite dimensional Banach space is not compact (use Riesz's lemma). Comment on why this does not contradict Alaoglu's theorem.
Show that the closed unit ball in a Hilbert space H is compact if and only...
Show that the closed unit ball in a Hilbert space H is compact if and only if H is finite dimensional. HINT: The closed unit ball must contain any basis.
Show that a compact subset of a Hausdorff space is closed in detail.
Show that a compact subset of a Hausdorff space is closed in detail.
Give an example with a proof of an infinite-dimensional vector space over R
Give an example with a proof of an infinite-dimensional vector space over R
Suppose that E is a closed connected infinite subset of a metric space X. Prove that...
Suppose that E is a closed connected infinite subset of a metric space X. Prove that E is a perfect set.
Let (X,d) be a metric space which contains an infinite countable set Ewith the property x,y...
Let (X,d) be a metric space which contains an infinite countable set Ewith the property x,y ∈ E ⇒ d(x,y) = 1. (a) Show E is a closed and bounded subset of X. (b) Show E is not compact. (c) Explain why E cannot be a subset of Rn for any n.
If the sample space S is an infinite set, does this necessarily imply that any random...
If the sample space S is an infinite set, does this necessarily imply that any random variable defined from S will have an finite set of possible values? If yes, say why. If no, give an example.
What does the properties “closed under addition and multiplication” signify in regard to a vector space.
What does the properties “closed under addition and multiplication” signify in regard to a vector space.
How can I proof that a closed compact subset of R^n does ot have measure zero....
How can I proof that a closed compact subset of R^n does ot have measure zero. Also, how can I proof tht non empty open sets in R^n do not have measure zero in R^n Its almost the same question.
1. As we increase the quantum number of an electron in a one-dimensional, infinite potential well,...
1. As we increase the quantum number of an electron in a one-dimensional, infinite potential well, what happens to the number of maximum points in the probability density function? It increases. It decreases. It remains the same 2. If an electron is to escape from a one-dimensional, finite well by absorbing a photon, which is true? The photon’s energy must equal the difference between the electron’s initial energy level and the bottom of the nonquantized region. The photon’s energy must...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT