query: Functional Analysis Exercise Problem
positive_passages.docid: 150331
positive_passages.text: Whenever $f=T(x)$ then $f(x) \geq 0$. Prove $T$ is bounded by closed graph theorem.
negative_passages.docid: 104278
negative_passages.text: Finding function $f(x)$ which satisfy given functional equation
negative_passages.docid: 17175
negative_passages.text: Problem in solving functional equation $f(x^2 + yf(x)) = xf(x+y)$
negative_passages.docid: 12349
negative_passages.text: a construction of a continuous function from a normal space to [0,1]
negative_passages.docid: 147195
negative_passages.text: Help needed in finding the value of $f(2001)$ in the given functional equation
negative_passages.docid: 143424
negative_passages.text: Sequence problem involving inequalities
negative_passages.docid: 127047
negative_passages.text: How to show that $\sum_{i=1}^n | \langle f, f_i\rangle |^2 \leq \Vert f \Vert^2$
negative_passages.docid: 12240
negative_passages.text: Problem with a continuous function
negative_passages.docid: 89747
negative_passages.text: Problem with showing that every Contractive Sequence is Cauchy
negative_passages.docid: 14830
negative_passages.text: A transformation of F[x]
negative_passages.docid: 62111
negative_passages.text: Functional Equation $f(mn)=f(m)f(n)$.
negative_passages.docid: 126698
negative_passages.text: measurability of a function -equivalent conditions
negative_passages.docid: 144656
negative_passages.text: Linear functional and a bounded norm
negative_passages.docid: 148470
negative_passages.text: bound of the function
negative_passages.docid: 69945
negative_passages.text: A PDE exercise from Gilbarg Trudinger. problem 2.2
negative_passages.docid: 157328
negative_passages.text: A complex analysis problem to prove an inequality
negative_passages.docid: 35281
negative_passages.text: $1992$ IMO Functional Equation problem