Convexity of the Field of a Linear Transformation
Canadian mathematical bulletin, Tome 2 (1959) no. 1, pp. 15-18

Voir la notice de l'article provenant de la source Cambridge University Press

Let Un be an n-dimensional unitary space with inner product In Un let Sn-1 denote the unit sphere: Let A be an arbitrary linear transformation of Un.
Goldman, A. J.; Marcus, M. Convexity of the Field of a Linear Transformation. Canadian mathematical bulletin, Tome 2 (1959) no. 1, pp. 15-18. doi: 10.4153/CMB-1959-004-7
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[1] 1. Halmos, P.R., Finite dimensional vector spaces, Annals of Mathematics Studies Number 7, (Princeton, 1942), 83-84. Google Scholar

[2] 2. Hausdorff, F., Der Wertvorrat einer Bilinearform, Math, Zeit. 3(1919), 314-316. Google Scholar

[3] 3. Stone, M.H., Linear transformations in Hilbert space, A.M.S.Colloquium Publication XV, (1932), 131-133. Google Scholar

[4] 4. Toeplitz, O., Das algebraische Analogen zu einem Satze von Fejer, Math. Zeit. 2(1918), 187-197. Google Scholar

[5] 5. Wintner, A, Spektraltheorie der unendlichen Matrizen, (Leipzig, 1929), 34-37. Google Scholar

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