A note on -ideals in certain algebras of operators.
In stochastic partial differential equations it is important to have pathwise regularity properties of stochastic convolutions. In this note we present a new sufficient condition for the pathwise continuity of stochastic convolutions in Banach spaces.
2000 Mathematics Subject Classification: 44A40, 42A38, 46F05The product of an entire function satisfying a growth condition at infinity and an integrable Boehmian is defined. Properties of this product are investigated.
In this note we study sets of normal generators of finitely presented residually -finite groups. We show that if an infinite, finitely presented, residually -finite group is normally generated by with order , then where denotes the first -Betti number of . We also show that any -generated group with must have girth greater than or equal .