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Funktsional. Anal. i Prilozhen., 2009, Volume 43, Issue 4, Pages 91–96 (Mi faa2972)  

Brief communications

Indefinite Sturm Theory

A. Portaluri

Università del Salento, Italy

Abstract: The symplectic versions of the Sturm oscillation and comparison theorem describe some properties of the Maslov index and were proved by developing a suitable intersection theory in the Lagrangian Grassmannian setting. What we propose here is a Sturm oscillation and comparison theorem for indefinite systems, obtained by defining a new index by means of the Brouwer degree of a determinant map associated with a suspension of a complexified family of boundary value problems.

Keywords: Hermitian form, spectral flow, Brouwer degree

DOI: https://doi.org/10.4213/faa2972

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English version:
Functional Analysis and Its Applications, 2009, 43:4, 316–319

Bibliographic databases:

UDC: 517.97
Received: 15.05.2007
Revised: 10.12.2008

Citation: A. Portaluri, “Indefinite Sturm Theory”, Funktsional. Anal. i Prilozhen., 43:4 (2009), 91–96; Funct. Anal. Appl., 43:4 (2009), 316–319

Citation in format AMSBIB
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\pages 91--96
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\jour Funct. Anal. Appl.
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\vol 43
\issue 4
\pages 316--319
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