Dimension preserving resolutions of singularities of Poisson structures

Some Poisson structures do admit resolutions by symplectic manifolds of the same dimension. We give examples and simple conditions under which such resolutions can not exist

On the triviality of domains of powers and adjoints of closed operators

The paper is devoted to counterexamples involving the triviality of domains of products and/or adjoints of densely defined operators

Exponentials of Normal Operators and Commutativity of Operators: A New Approach

We present a new approach to the question of when the commutativity of operator exponentials implies that of the operators. This is proved in the setting of bounded normal operators on a complex Hilbert space. The proofs are based on some similarities results by Berberian and Embry as well as the celebrated Fuglede theorem.Comment: 05 page