Aytuna, Aydın
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.
Manuscripta Mathematica


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.
On the sequential order continuity of the C(K)-space
Ercan, Z.; Onal, S. (Springer Science and Business Media LLC, 2007-03-01)
As shown in [1], for each compact Hausdorff space K without isolated points, there exists a compact Hausdorff P'-space X but not an F-space such that C(K) is isometrically Riesz isomorphic to a Riesz subspace of C(X). The proof is technical and depends heavily on some representation theorems. In this paper we give a simple and direct proof without any assumptions on isolated points. Some generalizations of these results are mentioned.
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.
Operators commuting with mixing sequences
Ha, MD (Duke University Press; 1999-09-01)
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:
A classification of equivariant principal bundles over nonsingular toric varieties
Biswas, Indranil; Dey, Arijit; Poddar, Mainak (World Scientific Pub Co Pte Lt, 2016-12-01)
We classify holomorphic as well as algebraic torus equivariant principal G-bundles over a nonsingular toric variety X, where G is a complex linear algebraic group. It is shown that any such bundle over an affine, nonsingular toric variety admits a trivialization in equivariant sense. We also obtain some splitting results.
Citation Formats
A. Aytuna, “ON STEIN MANIFOLDS M FOR WHICH O(M) IS ISOMORPHIC TO O(DELTA-N) AS FRECHET SPACES,” Manuscripta Mathematica, pp. 297–315, 1988, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/52024.