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  • 9 votes cast
Dec
15
awarded  Caucus
May
20
awarded  Tumbleweed
May
14
accepted Find norm of functional
May
13
comment Find norm of functional
@UmbertoP. I think no, because if I know how to do it, you will be able to find the answer, so second question depends on first.
May
13
asked Find norm of functional
May
13
revised Extending a functional with same norm
added 1 character in body
May
13
comment Extending a functional with same norm
@MattN. oh, this is mistake. I edited post.
May
13
accepted Find norm of operator
May
13
comment Find norm of operator
no, how to prove that $A$ is equal to scalar in $L_2$?
May
13
comment Find norm of operator
But how to prove it?
May
13
comment Find a norm of operator form l1 to l1
So, supremum is 2, right?
May
13
comment Find norm of operator
But why is $\int_0^2(t^2+2)x(t)dt$ scalar and equals to $<t^2+2,x(t)>$?
May
13
accepted Find a norm of operator form l1 to l1
May
13
comment Find a norm of operator form l1 to l1
Sorry, I didn't understand your further hint. So this function will be equal to 2 in $(1,0,0)$. And what does it mean?
May
13
comment Find norm of operator
@RobertLewis Exactly.
May
13
asked Find norm of operator
May
13
comment Find a norm of operator form l1 to l1
@MhenniBenghorbal why? How to prove it?
May
13
awarded  Commentator
May
13
comment Find a norm of operator form l1 to l1
But is there supremum of this function? I think no, WolframAlpha says no either, but how to prove it?
May
13
comment Extending a functional with same norm
@Hamid Oh, thanks