Quasinilpotent operators as norm limits of nilpotent operators
Authors:
E. H. Luchins and K. C. Mastan
Journal:
Bull. Amer. Math. Soc. 79 (1973), 564-565
MSC (1970):
Primary 46L20; Secondary 46J15
DOI:
https://doi.org/10.1090/S0002-9904-1973-13204-5
MathSciNet review:
0312285
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References | Similar Articles | Additional Information
- 1. P. R. Halmos, Ten problems in Hilbert space, Bull. Amer. Math. Soc. 76 (1970), 887–933. MR 270173, https://doi.org/10.1090/S0002-9904-1970-12502-2
- 2. Einar Hille and Ralph S. Phillips, Functional analysis and semi-groups, American Mathematical Society Colloquium Publications, vol. 31, American Mathematical Society, Providence, R. I., 1957. rev. ed. MR 0089373
- 3. Irving Kaplansky, Algebraic and analytic aspects of operator algebras, American Mathematical Society, Providence, R.I., 1970. Conference Board of the Mathematical Sciences Regional Conference Series in Mathematics, No. 1. MR 0312283
- 4. Kathleen C. Mastan, On properties of radical Banach algebras, Doctoral Thesis, Rensselaer Polytechnic Institute, Troy, New York, 1972.
- 5. Kathleen C. Mastan and Edith H. Luchins, Quasinilpotent and nilpotent elements (in preparation).
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Additional Information
DOI:
https://doi.org/10.1090/S0002-9904-1973-13204-5
