Answer to Question #72876 in Functional Analysis for Sajid

Question #72876

Let D be a metric on X determined all constant k s.t
(k+d) is a metric. Give its Hint or prove it shortly.

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Assignment Expert

03.12.18, 16:35

One should verify conditions for (k+d) to be a metric given the function d is a metric. The solution explains the reasons why there should be k=0 in this case. By definition,,if d is a metric then d(x,y)>=0,d(x,y)=0 if and only if x=y, d(x,y)=d(y,x), d(x,z)

Mahpara

02.12.18, 21:50

Can you please explain briefly I can't understand.and tell about kb is a metric space on X?

Answer to Question #72876 in Functional Analysis for Sajid

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