On $J$-selfadjoint extensions of $J$-symmetric operators
HTML articles powered by AMS MathViewer
- by Ian Knowles PDF
- Proc. Amer. Math. Soc. 79 (1980), 42-44 Request permission
Abstract:
A short proof is given (via the theory of conjugate-linear operators) of the fact that every J-symmetric operator in a Hilbert space $\mathcal {K}$ has a J-selfadjoint extension in $\mathcal {K}$.References
- Nelson Dunford and Jacob T. Schwartz, Linear operators. Part I, Wiley Classics Library, John Wiley & Sons, Inc., New York, 1988. General theory; With the assistance of William G. Bade and Robert G. Bartle; Reprint of the 1958 original; A Wiley-Interscience Publication. MR 1009162
- Alberto Galindo, On the existence of $J$-selfadjoint extensions of $J$-symmetric operators with adjoint, Comm. Pure Appl. Math. 15 (1962), 423–425. MR 149305, DOI 10.1002/cpa.3160150405
- I. M. Glazman, An analogue of the extension theory of Hermitian operators and a non-symmetric one-dimensional boundary problem on a half-axis, Dokl. Akad. Nauk SSSR (N.S.) 115 (1957), 214–216 (Russian). MR 0091440
Additional Information
- © Copyright 1980 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 79 (1980), 42-44
- MSC: Primary 47B25; Secondary 47B50
- DOI: https://doi.org/10.1090/S0002-9939-1980-0560580-X
- MathSciNet review: 560580