The La Theorem Is a Special Case of the

In the more general setting of Hilbert spaces which may have an infinite dimension the statement of the spectral theorem for compact self-adjoint operators is virtually the same as in the finite-dimensional case. Brouwers fixed-point theorem is a fixed-point theorem in topology named after L.

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Bertus BrouwerIt states that for any continuous function mapping a compact convex set to itself there is a point such that The simplest forms of Brouwers theorem are for continuous functions from a closed interval in the real numbers to itself or from a closed disk to itself.

. TheoremSuppose A is a compact self-adjoint operator on a real or complex Hilbert space VThen there is an orthonormal basis of V consisting of eigenvectors of A.

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The La Theorem Is A Special Case Of The Study Com