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- W1964953544 abstract "The fact that the most general symmetrisable operators in Hilbert Space do not possess a number of the desirable properties of such operators in unitary spaces makes it necessary to look for a more restricted class of operators. There are two reasons for our particular choice. In the first place many of the conditions introduced in the course of Part II concerned reltionships between the domain of the symmetrising operator H and the domain and range of the symmetrisable operator A . These conditions are now all automatically satisfied. The other reason is that the construction used in section 4 to relate symmetrisable operators to certain symmetric operators clearly required that either H or H −1 was bounded. The case of H −1 bounded has already been dealt with in section 9 and shown to be fairly simple. The case in which H is bounded is clearly of considerable complexity, since we have already seen (example in proof of Theorem 10.6.) that the con | H | the bound of H by" @default.
- W1964953544 created "2016-06-24" @default.
- W1964953544 creator A5001334013 @default.
- W1964953544 date "1964-02-01" @default.
- W1964953544 modified "2023-10-14" @default.
- W1964953544 title "Symmetrisable operators :Part III Hilbert space operators Symmetrisable by bounded operators" @default.
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- W1964953544 doi "https://doi.org/10.1017/s1446788700022722" @default.
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