Operators commuting with mixing sequences

Ha, MD
Let (X, F, mu) be a probability space and let L-2(X, 0) be the collection of all f is an element of L-2(X) with zero integrals. A collection A of linear operators on L-2(X) is said to satisfy the Gaussian-distribution property (G.D.P.) if L-2(X, 0) is invariant under A and there exists a constant C < infinity such that the following condition holds:


On a Fitting length conjecture without the coprimeness condition
Ercan, Gülin (Springer Science and Business Media LLC, 2012-08-01)
Let A be a finite nilpotent group acting fixed point freely by automorphisms on the finite solvable group G. It is conjectured that the Fitting length of G is bounded by the number of primes dividing the order of A, counted with multiplicities. The main result of this paper shows that the conjecture is true in the case where A is cyclic of order p (n) q, for prime numbers p and q coprime to 6 and G has abelian Sylow 2-subgroups.
On entire rational maps of real surfaces
Ozan, Yıldıray (The Korean Mathematical Society, 2002-01-01)
In this paper, we define for a component X-0 of a nonsingular compact real algebraic surface X the complex genus of X-0, denoted by g(C)(X-0), and use this to prove the nonexistence of nonzero degree entire rational maps f : X-0 --> Y provided that g(C)(Y) > g(C)(X-0), analogously to the topological category. We construct connected real surfaces of arbitrary topological genus with zero complex genus.
Aytuna, Aydın (Springer Science and Business Media LLC, 1988-9)
We give a characterization of Stein manifolds M for which the space of analytic functions,O(M), is isomorphic as Fréchet spaces to the space of analytic functions on a polydisc interms of the existence of a plurisubharmonic function on M with certain properties. We discuss some corollaries of this result and give some examples.
Orders of elements of equivariant J-groups of complex projective spaces
Onder, T (Elsevier BV, 2002-06-17)
A computable formula for the equivariant J-orders of the elements of JO(G)(CPn) is given for all finite groups G which do not have quaternionic type irreducible representations.
Class groups of dihedral extensions
Lemmermeyer, F (Wiley, 2005-01-01)
Let L/F be a dihedral extension of degree 2p, where p is an odd prime. Let KIF and k/F be subextensions of L/F with degrees p and 2, respectively. Then we will study relations between the p-ranks of the class groups Cl(K) and Cl(k).
Citation Formats
M. Ha, “Operators commuting with mixing sequences,” 1999, vol. 43, p. 427, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/64358.