A Remark on Extreme Points in H 1 on Polydiscs

A remark on the H∞-calculus

If A,B are sectorial operators on a Hilbert space with the same domain and range, and if �Ax� ≈ �Bx� and �A−1x� ≈ �B−1x�, then it is a result of Auscher, McIntosh and Nahmod that if A has an H ∞−calculus then so does B. On an arbitrary Banach space this is true with the additional hypothesis on B that it is almost R-sectorial as was shown by the author, Kunstmann and Weis in a recent preprint. ...

a study on rate making and required reserves determination in reinsurance market: a simulation

reinsurance is widely recognized as an important instrument in the capital management of an insurance company as well as its risk management tool. this thesis is intended to determine premium rates for different types of reinsurance policies. also, given the fact that the reinsurance coverage of every company depends upon its reserves, so different types of reserves and the method of their calc...

A remark on Remainders of homogeneous spaces in some compactifications

‎We prove that a remainder $Y$ of a non-locally compact‎ ‎rectifiable space $X$ is locally a $p$-space if and only if‎ ‎either $X$ is a Lindel"{o}f $p$-space or $X$ is $sigma$-compact‎, ‎which improves two results by Arhangel'skii‎. ‎We also show that if a non-locally compact‎ ‎rectifiable space $X$ that is locally paracompact has a remainder $Y$ which has locally a $G_{delta}$-diagonal‎, ‎then...

A Remark on a Remark by Macaulay or Enhancing Lazard Structural Theorem

On the Extreme Points and Strongly Extreme Points in Köthe–bochner Spaces

We give the necessary conditions of extreme points and strongly extreme points in the unit ball of Köthe–Bochner spaces. The conditions have been shown to be sufficient earlier.