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Feb
5
awarded  Autobiographer
Mar
30
awarded  Teacher
Mar
30
answered Why can't you flatten a sphere?
Feb
20
comment Norms Abstract Analysis
Otherwise the first two don't hold in the general case. As for the third and fourth, try substituting $\lambda f$ or $f + g$ in place of $f$ in the integral and see what you get. Remember that integration is linear.
Feb
20
comment Norms Abstract Analysis
Do you mean $0 < w(x) \leq c$?
Feb
20
answered Norms Abstract Analysis
Nov
25
suggested rejected edit on What's the sense in “Implies” logic?