Functional Analysis

1) Let E be an infinite dimensional normed space, and let S =... Find the weak closure of S. Please see attached for full question.

Suppose that ε is a vector space, nЄN, and f1, f2,…,fn, and g are linear functionals on ε. Let N = ker(f1)∩ker(f2) ∩…∩ker(fn). Then g is a linear combination of f1, f2,…,fn if and only if g(N) = {0}.

Functional Analysis Linear Functionals Vector Space Suppose that ε is a vector space, nЄN, and f1, f2,…,fn, and g are linear functionals on ε. Let N = ker(f1)∩ker(f2) ∩…∩ker(fn). Then g is a linear combination of f1, f2,…,fn if and only if g(N) = {0}. Hint: Suppose that g(N) = {0}. Define ĝ: ε /N →C by ĝ([x]) = g(x) for each x in ε and h: ε /N→Cn by h([x]) = (f1(x), f2(x),…, fn(x... click for more

Exponential & Logarithmic Functions

Find the range of f(x) =3-e^x?

Exponential & Logarithmic Functions

If $2500 is invested in a long-term trust fund with an interest rate of 5% compounded continuously, what is the amount of money in the account after 25 years?

Exponential/Logarithmic Functions

Find the domain of the function: 3 + ln(x - 1)