Matrix algebraic sets of infinite dimension

Author O. V. Labachuk
olabachuk@gmail.com
Vasyl Stefanyk Precarpathian National University

Abstract Using multiplicative polynomials on algebras it is proved an analogue of Hilbert Nullstellensatz for the case of an infinite-dimensional real Banach space.
Keywords multiplicative polynomials; infinite-dimensional real Banach space
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2. A. Zagorodnyuk, Spectra of algebras of analytic functions and polynomials on Banach spaces, Contemporary Mathematics 435 (2007), 381–394.

3. S. Dineen, R.E. Harte, C. Taylor, Spectra of tenzor product elements II: Polynomial extensions, Proceedings of the Royal Irish Academy 101A (2001), ¹2, 197–220.

4. A.V. Zagorodnyuk, Nullstellensatz on infinite-dimensional complex spaces, Journal of Mathematical Sciences, 96 (1999), ¹2, 2951–2956.

Pages 179-183
Volume 37
Issue 2
Year 2012
Journal Matematychni Studii
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