Some New Results on Commutative Algebra
DOI:
https://doi.org/10.48165/Keywords:
Polarization, Convex Algebra, EquiregularAbstract
In this paper, we shall discuss and give applications of a polarization formula, which yields estimates of��1 … …… …… ���� when estimates of ����are given, and estimates of the polarized forms of the terms of the Taylor expansion of a bounded holomorphic function over a bell in Banach space. The polarization formula can be used to obtain new properties of commutative algebras, with a convex topology or a convex bounded structure. The polarization formula will be proved in the first section,a few application will be given in section 2,3,4 in which we obtain estimates of ��1 …… …… …����from estimates of ����. We shall also define the infinite dimensional holomorphic functional calculus.
References
Adasch, N. (1978). Topological vector spaces, Lecture notes in Math, Vol. 639. Springer-Verlag Berlin. 2. BachaMan, G and L. Narici. (1966). Functional Analysis, Academic Press, Newyork. 3. Kothe, G (1979). Topological vector spaces, vol 1 and vol 2.
Kothe,T. (1966). Perturbation theory for linear operators, Springer.
Pietsch, A. (1972). Nuclear Locally convex spaces, springer.
Taylor, A.E. (1980). Introduction to Functional Analysis, Waley, NewYork.
Goldberg, S. (1966). Unbounded linear operators, MCGraw Hill Newyork.
Downloads
Published
Issue
Section
How to Cite
