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Uniform quasinilpotency: definitions, conditions, applications

Annotation

definition of uniform quasinilpotent family of the operators and definition of superuniform quasinilpotent family of the operators are introduced; corresponding conditions for functional operators are formulated; applications of these definitions and conditions are discussed.

Keywords

uniform quasinilpotent family of the operators; Volterra chain of the operator; theorem about the equivalent norm

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UDC

517.95

Pages

804-806

Section of issue

Articles

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