On the structure of principal ideals of operators
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- by G. D. Allen and L. C. Shen PDF
- Trans. Amer. Math. Soc. 238 (1978), 253-270 Request permission
Abstract:
This paper considers various types of principal ideals generated by single compact operators on a separable Hilbert space. In particular, necessary and sufficient condtions that a principal ideal be normable are given. Relations between principal ideals and duals of Lorentz and Orlicz spaces are also given. All conditions are expressed using the singular numbers of the operator.References
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Additional Information
- © Copyright 1978 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 238 (1978), 253-270
- MSC: Primary 47B05; Secondary 47D99
- DOI: https://doi.org/10.1090/S0002-9947-1978-0467371-4
- MathSciNet review: 0467371