Commutators, 𝐶^{𝑘}-classification, and similarity of operators

Kantorovitz, Shmuel

doi:10.1090/S0002-9947-1971-0281045-8

Commutators, $C^{k}$-classification, and similarity of operators
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by Shmuel Kantorovitz

Trans. Amer. Math. Soc. 156 (1971), 193-218

DOI: https://doi.org/10.1090/S0002-9947-1971-0281045-8

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Abstract:

We generalize the results of our recent paper, The ${C^k}$-classification of certain operators in ${L_p}$. II, to the abstract setting of a pair of operators satisfying the commutation relation $[M,N] = {N^2}$.

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Similarity invariants of certain operators in

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The

classification of certain operators in

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