Let E be a countably generated Hilbert module over a C~*-algebra A and B(E) the set ofall bounded module maps on E. We find that B(E) is isometric isomorphic on
It is proved that for any C~1 self-covering map f of a compact connected Riemann manifoldwithout boundary, if f satisfies both axiom A and the no-cycle property
Let {X<sub>n</sub>, n≥1} be a sequence of iidrvs with a common df F and for every n, let X<sub>n,1</sub>≤…≤X<sub>n,n</sub> denote the order statistics of X<
A symplectic matrix M is singular, if det(M-I)=0. In this paper we study the struc-ture of the singular set of symplectic mtrices. We discuss the changes of the
In this paper some inequalities for maximal operator and p-power operator of martin-gales with values in Banach spaces are established. We discuss some relation
It has ever been regarded as non-trivial to answer Halmos’ problem 160. Now there is a simple example to answer the problem. It, however, is in isolation, from
Let f(z)=a<sub>o</sub>+a<sub>1</sub>z+… be holomorphic in the unit disk {z: |z|【1} and omit the values 0 and 1. It is proved in this paper that |a<sub>1</sub>|
For a class of Reinhardt domains, we prove that the holomorphic sectional curvatures are upper-bounded by a negative constant. Then we obtain a comparison theor
It is shown that almost all natural numbers can be expressed as the sum of three cubes aud one fifth power of natural numbers. To be more precise, we haveE(N)【【
In the study of the holonomic modules over D_n(■_n) and ■p, it is claimed and used that gr(D_n)(gr(■_n)) and gr(■p) are regular Noetherian rings with pure d