A. R. Abdullaev
abstract:
In this paper the most general statements
concerning steady properties of elements in Banach spaces are
stated. The paper provides a device for research of concrete
steady properties of linear operators and linear boundary value
problems. It is proved that each steady property is generated by
some positively homogeneous and nonexpanding functional. The
concept of the spectrum of an element concerning steady property
is introduced and basic statements about the spectrum are
formulated.
Mathematics Subject Classification: 34B05, 34K06, 46B28, 47A10, 47A55, 47L05.
Key words and phrases: Banach spaces, steady properties, generating functional, spaces of linear operators, spectrum, resolvent.