The Strong Maximum Modulus Theorem for Analytic Functions into a Banach Space
From MaRDI portal
Publication:5577484
DOI10.2307/2035432zbMath0185.20102OpenAlexW4250971197MaRDI QIDQ5577484
Robert J. Whitley, Edward O. Thorp
Publication date: 1967
Full work available at URL: https://doi.org/10.2307/2035432
Related Items
A characterization of Banach spaces with nonzero Bohr radius ⋮ Some further estimates concerning sums of powers of complex numbers ⋮ The \(p\)-Bohr radius of a Banach space ⋮ Random iterations, fixed points and invariant CRF-horospheres in complex Banach spaces ⋮ Complex convexity and the geometry of Banach spaces ⋮ Maximum theorems for vector valued holomorphic functions ⋮ On complex strictly convex spaces. I ⋮ Complex strict and uniform convexity and hyponormal operators ⋮ An extension of maximum principle with some applications ⋮ On complex strictly convex spaces. II ⋮ Generalized numerical index of function algebras ⋮ Bohr and Rogosinski inequalities for operator valued holomorphic functions ⋮ Complex rotundity of Orlicz sequence spaces equipped with the \(p\)-Amemiya norm ⋮ Unnamed Item ⋮ Complex extreme points and complex convexity in Orlicz-Bochner function spaces ⋮ Unnamed Item ⋮ Complex convexity in Lebesgue-Bochner Function Spaces ⋮ Complex convexity of Musielak-Orlicz function spaces equipped with the \(p\)-Amemiya norm ⋮ Complex convexity of Orlicz modular sequence spaces ⋮ Monotonicity Properties of Banach Lattices and Their Applications – a Survey ⋮ Unnamed Item ⋮ Monotonicity characteristic of Köthe-Bochner spaces ⋮ The maximum principle for holomorphic operator functions ⋮ On operator-valued analytic functions with constant norm ⋮ Complex extreme points and complex rotundity in Orlicz function spaces equipped with the \(p\)-Amemiya norm ⋮ On interpolation by analytic maps in infinite dimensions ⋮ Complex convexity and monotonicity in quasi-Banach lattices ⋮ Criteria for complex strongly extreme points of Musielak--Orlicz function spaces ⋮ On the automorphisms of circular and Reinhardt domains in complex Banach spaces ⋮ An application from partial sums of \(e^ z\) to a problem in several complex variables ⋮ Moduli and characteristics of monotonicity in general Banach lattices and in Orlicz spaces in particular ⋮ Geometric properties of noncommutative symmetric spaces of measurable operators and unitary matrix ideals ⋮ On Complex Strict and Uniform Convexity ⋮ Schwarz's lemma for vector-valued analytic functions ⋮ Complex strict convexity of certain Banach spaces ⋮ Banach algebras with involution and Möbius transformations ⋮ Complex geodesics and holomorphic retracts of dimension 1 ⋮ The Denjoy-Wolff theorem in the open unit ball of a strictly convex Banach space ⋮ The level sets of the resolvent norm and convexity properties of Banach spaces ⋮ A Urysohn-type theorem and the Bishop-Phelps-Bollobás theorem for holomorphic functions ⋮ The existence and non-existence of common fixed points for commuting families of holomorphic mappings ⋮ An application of the Parrott's theorem to the geometry of the unit sphere ⋮ Denseness of norm attaining compact operators to some vector-valued function spaces ⋮ Complex extreme points in Marcinkiewicz spaces
Cites Work