β Scribed by M. F. Horodnii; O. V. Vyatchaninov
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Our concern is to find a representation theorem for operators in B ( c ( X ) , c ( Y ) ) where S and Y are Banach spaces with Y containing an isomorphic copy of Q. CASS and GAO [l] obtained a iq,resentation theorem that always applies if Y does not contain an isomorphic copy of Q. MADDOX [:$I, MELVI
In this paper we study the action of a bounded linear operator over different kinds of sequences of a Banach space. Our work is mainly devoted to minimal and Mbasic sequences. PLANS and GARC~A CASTELL~N have characterized the boundedneas of a linear operator T by requiring the minimality of any seq
Let K 1 , . . . , K n be (infinite) non-negative matrices that define operators on a Banach sequence space. Given a function f : ) of n variables, we define a nonnegative matrix f (K 1 , . . . , K n ) and consider the inequality where r denotes the spectral radius. We find the largest function f fo