Instruct: Given a premise, retrieve a hypothesis that is entailed by the premise.
Query: In mathematical representation theory, two representations of a group on topological vector spaces are called Naimark equivalent (named after Mark Naimark) if there is a closed bijective linear map between dense subspaces preserving the group action.
To be Naimark equivalent there can not be an open bijective linear map between dense subspaces
Giuseppe Vitali and Constantin Carathéodory could solve this theorem.
Nikolay Krylov and Nikolay Bogoliubov specialize in mathematical non-linear mechanics
Giuseppe Vitali and Constantin Carathéodory shared credit for discovering this theorem, which is why it's named for them.
Allen Blackmon and Nancy Harmon work together.
Nashville West's members were close friends. 
It was pointed out by Yuri Manin that quantum algebras play an important role in the theory of quantum groups.
A hilbert space is associated with art
(NAM) stands for Non-American Movement
Two actors from this movie, Spy for a Day, were chosen because they closely resemble each other.
Russian mathematician Alexandrov named topology.
John von Neumann and Arthur W. Burks were best friends.
Yuri Manin knows how to multiply
It was pointed out by Yuri Manin that quantum algebras play an important role in the theory of quadratic groups.
The 2 names that he was called, both have the same word in the middle.
A number of findings in topology are named after Pavel Alexandrov.
The two bands of the same name played together 
Nashville West's members were friends. 
Johan Niemann has a sibling who shares the same last name as him
Lauren Neidigh and Mike Thomas are friends.
There were two movies that had the same character in them.
The representative for Nanaimo-Cowichan can be trusted.
Mark Naimark has never had anything named after him.
The word "if" does not appear in the context.
Knowledge of numerals does not help in mathematics.