Uday Shankar Chakraborty

4 Questions 8 Answers 0 Followers

Questions related from Uday Shankar Chakraborty

Is the dual of C[0,1] an L^1 space for some measure m?

Does there exist a measure m such that the dual of C[0,1] is isometrically isomorphic to L^1(m)? Please provide a reference if the answer is yes.

08 December 2021 1,790 2 View

Is every quotient space of an LUR space LUR?

We know that if X is a uniformly rotund space then for every closed subspace M of X, X/M is uniformly convex. Does the similar assertion true for a locally uniformly rotund space ? If not is there...

26 October 2019 4,369 5 View

Is dual of a subspace of a normed linear space is a subspace of the dual of the normed linear space?

Let X be a normed linear space and let Y be a subspace of X. How are X* and Y* related. Is always Y* contained in X* or the reverse inclusion is also possible?

07 October 2019 9,651 19 View

Is there any result which guarantees the uniqueness of the norm attaining point of a bounded linear operator?

Let X be a Banach space and let T be a bounded linear operator on X. We know that if X is reflexive and T is compact then there exists x in the unit sphere of X such that T attains its norm at x....

10 September 2019 4,226 6 View