B. V. Rajarama Bhat

activity

20042026

most citedA completely entangled subspace of maximal dimension

53 citations · 145 across the 25 of their papers we have counts for

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math.DS2022

Iterative Roots of Multifunctions

B. V. Rajarama Bhat, Chaitanya Gopalakrishna

Some easily verifiable sufficient conditions for the nonexistence of iterative roots for multifunctions on arbitrary nonempty sets are presented. Typically if the graph of the mult…

math.DS2022

The non-iterates are dense in the space of continuous self-maps

B. V. Rajarama Bhat, Chaitanya Gopalakrishna

In this paper we develop a tool to identify functions which have no iterative roots of any order. Using this, we prove that when $X$ is $[0, 1]^{m}$ , $R^{m}$ or $S^{1}$ , every no…

math.DS2021

Iterative square roots of functions

B V Rajarama Bhat, Chaitanya Gopalakrishna

An iterative square root of a function $f$ is a function $g$ such that $g (g (\cdot)) = f (\cdot)$ . We obtain new characterizations for detecting the non-existence of such square roots…