The Toeplitz-Hausdorff theorem for linear operators
Author:
Karl Gustafson
Journal:
Proc. Amer. Math. Soc. 25 (1970), 203-204
MSC:
Primary 47.10; Secondary 46.00
DOI:
https://doi.org/10.1090/S0002-9939-1970-0262849-9
MathSciNet review:
0262849
Full-text PDF Free Access
References | Similar Articles | Additional Information
- Otto Toeplitz, Das algebraische Analogon zu einem Satze von Fejér, Math. Z. 2 (1918), no. 1-2, 187–197 (German). MR 1544315, DOI https://doi.org/10.1007/BF01212904
- Felix Hausdorff, Der Wertvorrat einer Bilinearform, Math. Z. 3 (1919), no. 1, 314–316 (German). MR 1544350, DOI https://doi.org/10.1007/BF01292610
- Marshall Harvey Stone, Linear transformations in Hilbert space, American Mathematical Society Colloquium Publications, vol. 15, American Mathematical Society, Providence, RI, 1990. Reprint of the 1932 original. MR 1451877
- Paul R. Halmos, A Hilbert space problem book, D. Van Nostrand Co., Inc., Princeton, N.J.-Toronto, Ont.-London, 1967. MR 0208368
- William F. Donoghue Jr., On the numerical range of a bounded operator, Michigan Math. J. 4 (1957), 261–263. MR 96127
- R. Raghavendran, Toeplitz-Hausdorff theorem on numerical ranges, Proc. Amer. Math. Soc. 20 (1969), 284–285. MR 233186, DOI https://doi.org/10.1090/S0002-9939-1969-0233186-5 K. Gustafson, A min-max theorem, Notices Amer. Math. Soc. 15 (1968), 799. Abstract #68T-B38.
Retrieve articles in Proceedings of the American Mathematical Society with MSC: 47.10, 46.00
Retrieve articles in all journals with MSC: 47.10, 46.00
Additional Information
Keywords:
Numerical range,
Hilbert space,
unbounded operator
Article copyright:
© Copyright 1970
American Mathematical Society