IUMJ is a journal publishing research papers at the forefront of both pure and applied mathematics.

Group gradings and Lie algebras are important concepts in algebra that help mathematicians understand the structure and properties of various algebraic systems. Group gradings involve the ...

Ülger, Saksman and Tylli have shown that if X is a reflexive Banach space and A is a subalgebra of K(X) such that A* has the Schur property, then A is completely continuous. Here by introducing the ...

In 50 years of searching, mathematicians found only one example of a “subspace design” that fit their criteria. A new proof reveals that there are infinitely more out there. In the fall of 2017, ...

In the fall of 2017, Mehtaab Sawhney, then an undergraduate at the Massachusetts Institute of Technology, joined a graduate reading group that set out to study a single paper over a semester. But by ...