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Multiplicative polynomial mappings on commutative Banach algebras
- O. Labachuk, A. Zagorodnyuk
- Mathematics
- 27 December 2012
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
- O. Labachuk, O. Labachuk
- Mathematics
- 2012
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
- I. Burtnyak, I. Chernega, V. Hladkyi, O. Labachuk, Z. Novosad
- MathematicsCarpathian Mathematical Publications
- 11 December 2021
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…