A simple proof of the Polar Decomposition Theorem
Abstract
In this expository paper, we present a new and easier proof of the Polar Decomposition Theorem. Unlike in classical proofs, we do not use the square root of a positive matrix. The presented proof is accessible to a broad audience.
Keywords
Hilbert space; linear operator; polar decomposition
References
2. Gantmacher F.R., Brenner J.L., Applications of the theory of matrices, Dover Publications, New York, 2005.
3. Pedersen G.K., Analysis now, Springer-Verlag, New York, 1989.
Instytut Matematyki, Uniwersytet Pedagogiczny im. Komisji Edukacji Narodowej w Krakowie Poland
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