Aniq fanlar

Criterion of completeness for two-sided ideals of compact operators

non-increasing rearrangement, compact operator, Calkin’s correspondence, Banach ideals of compact operators.

Authors

  • Azizkhon Azizov National University of Uzbekistan. Tashkent, Uzbekistan, Uzbekistan

In this paper established a sufficient condition for a two-sided ideal of compact operators to form a
Banach ideal. We prove that any proper, commutatively complete ideal X K(H), which equipped
with a monotone norm k kX, is a Banach ideal.