Priyanka Priyadarshini Behera

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Questions related from Priyanka Priyadarshini Behera

Convexity of an equivalent Minkowski norm?

Let $X=l_2$ with usual norm $\|\cdot\|_2$. We define a subspace of $X$ as $D=conv (B_{l_2} \cup B),$ where $B = \{ (x_n) \in l_2 : \sum_{n=1}^\infty \frac{n}{2} x_n^2 \leq 1\}$, conv is the convex...

11 September 2024 3,274 0 View

Which books one should follow to know details about Minkowski functional and its geometry in Banach spaces?

I am looking forward to know the concept of Minkowski functional and its geometry to construct a semi-norm? Can anybody suggest me with some good soft copies?

06 March 2024 5,282 2 View

Finding best approximation

We have $Y=\bar(span)\{e_n: n \geq 1\}$, which is a closed convex subspace of a strictly convex reflexive Hilbert space with an equivalent norm, where $e_n=(0,...,1,0...)$, 1 in the n-th place. It...

01 January 1970 8,316 0 View