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Multiplicative polynomial mappings on commutative Banach algebras
We consider the multiplicative polynomial mappings on commutative algebras in this work. We call a multiplicative polynomial trivial, if it can be represented as a product of characters. In the paper
O. V. Labachuk MATRIX ALGEBRAIC SETS OF INFINITE DIMENSION
1. Notations and preliminaries. Let X be a Banach space over the field K of real R or complex C numbers. A map P : X → K is an n-homogeneous polynomial if there is an n-linear form BP : X → K such
Application of symmetric analytic functions to spectra of linear operators
The paper is devoted to extension of the theory of symmetric analytic functions on Banach sequence spaces to the spaces of nuclear and $p$-nuclear operators on the Hilbert space. We introduced