Another class of invertible operators without square roots
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- by Don Deckard and Carl Pearcy
- Proc. Amer. Math. Soc. 14 (1963), 445-449
- DOI: https://doi.org/10.1090/S0002-9939-1963-0149284-5
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References
- Don Deckard and Carl Pearcy, On matrices over the ring of continuous complex valued functions on a Stonian space, Proc. Amer. Math. Soc. 14 (1963), 322–328. MR 147926, DOI 10.1090/S0002-9939-1963-0147926-1
- Paul R. Halmos, Günter Lumer, and Juan J. Schäffer, Square roots of operators, Proc. Amer. Math. Soc. 4 (1953), 142–149. MR 53391, DOI 10.1090/S0002-9939-1953-0053391-9
- 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
- Irving Kaplansky, Algebras of type $\textrm {I}$, Ann. of Math. (2) 56 (1952), 460–472. MR 50182, DOI 10.2307/1969654
- Carl Pearcy, A complete set of unitary invariants for operators generating finite $W^*$-algebras of type I, Pacific J. Math. 12 (1962), 1405–1416. MR 149326
Bibliographic Information
- © Copyright 1963 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 14 (1963), 445-449
- MSC: Primary 47.40
- DOI: https://doi.org/10.1090/S0002-9939-1963-0149284-5
- MathSciNet review: 0149284