The compact operators are not complemented in $\mathcal {B}(\mathcal {H})$
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- by John B. Conway PDF
- Proc. Amer. Math. Soc. 32 (1972), 549-550 Request permission
Abstract:
If $\mathcal {H}$ is an infinite dimensional Hilbert space then it is shown that the space of compact operators is not complemented in the space of all bounded operators.References
- E. O. Thorp, Projections onto the subspace of compact operators, Pacific J. Math. 10 (1960), 693–696. MR 114128, DOI 10.2140/pjm.1960.10.693
- David Arterburn and Robert Whitley, Projections in the space of bounded linear operators, Pacific J. Math. 15 (1965), 739–746. MR 187052, DOI 10.2140/pjm.1965.15.739
- Robert Whitley, Mathematical Notes: Projecting $m$ onto $c_0$, Amer. Math. Monthly 73 (1966), no. 3, 285–286. MR 1533692, DOI 10.2307/2315346
Additional Information
- © Copyright 1972 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 32 (1972), 549-550
- MSC: Primary 46.10; Secondary 47.00
- DOI: https://doi.org/10.1090/S0002-9939-1972-0288559-1
- MathSciNet review: 0288559