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Subspaces in Trace-Valued Spaces with Many Isotropic Vectors

Herbert H. Gross

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Abstract

The classical Theorem of Witt says that any isometry T 0 : F → F̄ between finite dimensional subspaces F, F̄ of a non degenerate tracevalued space (E, Φ) can be extended to an isometry T: E → E ([4], Satz 4 and Anmerkung p. 31).

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What this paper is about

The classical Theorem of Witt says that any isometry T 0 : F → F̄ between finite dimensional subspaces F, F̄ of a non degenerate tracevalued space (E, Φ) can be extended to an isometry T: E → E ([4], Satz 4 and Anmerkung p. 31).

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Available abstract

The classical Theorem of Witt says that any isometry T 0 : F → F̄ between finite dimensional subspaces F, F̄ of a non degenerate tracevalued space (E, Φ) can be extended to an isometry T: E → E ([4], Satz 4 and Anmerkung p. 31).

Key concepts: Linear subspace, Isometry (Riemannian geometry), Mathematics, TRACE (psycholinguistics), Pure mathematics, Degenerate energy levels, Isotropy, Discrete mathematics

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