Metric Spaces | Lecture 18 | Definition and Examples of Open Ball

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[@ranjankhatu]

Ok

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[@322-pinkidhobi9]

Describe the normed linear space ( L^2, || ||2) let d2 by the metric induced by || ||2 let ei=(0, 0....1,...0) then

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[@322-pinkidhobi9]

Sir send solution this problem

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[@322-pinkidhobi9]

Sir can you solve this problem, describe the following closed ball B[p, r] in ( X, d.)

[@322-pinkidhobi9]

d not is a discret metrics

[@ranjankhatu]

B[p,r]={x in X/ d(x,p)

[@hemaeswari]

@@ranjankhatu you said .....x belongs to less than r only....how less than equal comes???

[@ranjankhatu]

@@hemaeswari for open ball we use "strictly less than" and for closed ball, we use "less than or equal to"

[@hemaeswari]

@@ranjankhatu ok sir tq