Commutators, ^-classification, and similarity of operators

Shmuel Kantorovitz

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

Commutators, ^-classification, and similarity of operators

Shmuel Kantorovitz

University of Illinois at Chicago

Research output: Contribution to journal › Article › peer-review

11 Scopus citations

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] = N².

Original language	English
Pages (from-to)	193-218
Number of pages	26
Journal	Transactions of the American Mathematical Society
Volume	156
DOIs	https://doi.org/10.1090/S0002-9947-1971-0281045-8
State	Published - May 1971
Externally published	Yes

Keywords

Banach algebra
Boundary group
C-classification
C-operational calculus
Commutation relation
Holomorphic semigroup of operators
Quasi-nilpotent
Riemann-Liouville semigroup
Similarity
Spectral operator
Spectrality

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10.1090/S0002-9947-1971-0281045-8

Cite this

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title = "Commutators, ^-classification, and similarity of operators",

abstract = "We generalize the results of our recent paper, The Ck-classification of certain operators in Lp. II, to the abstract setting of a pair of operators satisfying the commutation relation [M, N] = N2.",

keywords = "Banach algebra, Boundary group, C-classification, C-operational calculus, Commutation relation, Holomorphic semigroup of operators, Quasi-nilpotent, Riemann-Liouville semigroup, Similarity, Spectral operator, Spectrality",

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AB - We generalize the results of our recent paper, The Ck-classification of certain operators in Lp. II, to the abstract setting of a pair of operators satisfying the commutation relation [M, N] = N2.

KW - Banach algebra

KW - Boundary group

KW - C-classification

KW - C-operational calculus

KW - Commutation relation

KW - Holomorphic semigroup of operators

KW - Quasi-nilpotent

KW - Riemann-Liouville semigroup

KW - Similarity

KW - Spectral operator

KW - Spectrality

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JO - Transactions of the American Mathematical Society

JF - Transactions of the American Mathematical Society

ER -

Commutators, ^-classification, and similarity of operators

Abstract

Keywords

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