Aniq fanlar

An abstract characterization of trace class ideal C

non-increasing rearrangement, symmetric sequence space, compact operator, Banach ideals of compact operators, Calkin’s construction.

Authors

  • A. N. Azizov National University of Uzbekistan, Tashkent, Uzbekistan, Uzbekistan

This paper has been devoted to establishing abstract characterizations of the sequence space l 1 and
the Schatten ideal C 1 , demonstrating that both are uniquely determined within their respective
classes by natural axiomatic properties.