Abstract
To understand the eigenvalues of an elliptic global operator, a very useful, basic and general tool is the Minimax Principle. After recalling it, we shall use the Minimax Principle to study the first properties of the spectral counting function, and of the behavior of the large eigenvalues, of an elliptic global operator. Remark that everything we say in this section holds also for matrix-valued operators.
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Parmeggiani, A. (2010). The Spectral Counting Function N(λ) and the Behavior of the Eigenvalues: Part 1. In: Spectral Theory of Non-Commutative Harmonic Oscillators: An Introduction. Lecture Notes in Mathematics(), vol 1992. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-11922-4_4
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DOI: https://doi.org/10.1007/978-3-642-11922-4_4
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Publisher Name: Springer, Berlin, Heidelberg
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Online ISBN: 978-3-642-11922-4
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