Rakesh posted an Question
July 20, 2020 • 23:34 pm 30 points
  • CSIR NET
  • Mathematical Sciences

In which of the following banach spaces is the parallelogram law satisfied? (a) l2 (b) (c

In which of the following Banach spaces is the parallelogram law satisfied? (a) l2 (b) (c

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  • Shashi ranjan sinha best-answer

    Since the norm in the L² space is induced by an inner product, therefore it satisfies the parallelogram law and so the correct answer is option a. For other options, see the attachment.

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