… Again, we obtain an analytic family of Banach spaces and, in this case, A(z; zo) = a(x, zo)/a(x,
z) is, simply, a multiplication operator. Further discussion of explicit examples is given in …

… This paper studies certain analytic families of Banach spaces that spring naturally in the …
of families [12]. We will work in the context of admissible spaces F of analytic functions (…

… From Section 5 on we consider Banach spaces and analytic P-ideals induced by families of
finite sets. If F ⊆ [ ω ] < ω = { A ⊆ ω : | A | < ω } covers ω then Φ F ( x ) = sup { ∑ i ∈ F | x i | …

… Banach spaces and Banach algebras of analytic functions in the unit disc: HP as a Banach
space; … which are analytic in the interior; the invariant subspaces for the shift operator on the …

… various topics related to algebras of analytic functions on Banach spaces. We begin in
Chapter 1 with a brief development of function theory on a Banach space, and we prove Ryan's …

… to denote an abstract complex Banach space, while 38 or S refer to Banach spaces which
satisfy our axioms (1.1)-(1.4) listed above. 37C and Jf will always refer to Hilbert spaces. 77(37…

… The theory of analytic functions in Banach spaces is a case in … lying in a Banach space, and
the theory of analytic functions of … the term Banach space to mean a complex Banach space. …

… functions in Hb are analytic on each slice in the ^**-direction. … , the space Mb(t *) associated
with the Banach space t* is … For background on analytic functions on Banach spaces we …

… Let me digress a bit and comment on the possible profit a classical analyst might derive
from Banach space theory. I do not claim that Banach space theory can solve all his important …

… This section is devoted to the study of multilinearrmmpings in Banach spaces. Besides their
intrinsic interest,multilinear mappings will serve a twofold purpose. Whereas symmetric mul…