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Showing 1 to 2 of 2 for “"Cayley-Hamilton Theorem"”.
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Extensions of the Cayley-Hamilton Theorem with Applications to Elliptic Operators and Frames.
<p>The Cayley-Hamilton Theorem is an important result in the study of linear transformations over finite dimensional vector spaces. In this thesis, we show that the Cayley-Hamilton Theorem can be extended to self-adjoint trace-class operators and to closed self-adjoint operators with trace-class …
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The Classical Lie algebras are more simple than they may appear
… linear algebra proving the Primary decomposition theorem and the Cayley-Hamilton Theorem. Following this, we dive into the world of Lie algebras where we look at Lie algebras of dimensions 1, 2 and 3, representations of Lie algebras, weight spaces, Cartan's criteria and the root space …