scholarly journals Embedding Banach spaces into the space of bounded functions with countable support

2019 ◽  
Vol 292 (9) ◽  
pp. 2028-2031
Author(s):  
William B. Johnson ◽  
Tomasz Kania
Keyword(s):  
Banach Spaces ◽  
Countable Support ◽  
Bounded Functions

scholarly journals On the Dunford-Pettis property in spaces of vector-valued bounded functions

1996 ◽  
Vol 53 (1) ◽  
pp. 131-134 ◽  
Author(s):  
Manuel D. Contreras ◽  
Santiago Díaz
Keyword(s):  
Banach Spaces ◽  
Disc Algebra ◽  
Bounded Functions ◽  
Vector Valued

We show that L∞(μ,X) has the Dunford-Pettis property for some classical Banach spaces including L1(μ), C (K), the disc algebra A and H∞.

scholarly journals Linear isometries on subalgebras of uniformly continuous functions

2000 ◽  
Vol 43 (1) ◽  
pp. 139-147 ◽  
Author(s):  
Jesús Araujo ◽  
Juan J. Font
Keyword(s):  
Banach Spaces ◽  
Continuous Functions ◽  
Bounded Functions ◽  
Uniformly Continuous ◽  
Linear Isometries

AbstractWe describe the linear surjective isometries between various subalgebras of uniformly continuous bounded functions defined on closed subsets of Banach spaces.

scholarly journals Coproximinality in the Space of Bounded Functions

2014 ◽  
Vol 2014 ◽  
pp. 1-5
Author(s):  
Eyad Abu-Sirhan ◽  
Zuhier Altawallbeh
Keyword(s):  
Banach Space ◽  
Banach Spaces ◽  
Best Approximation ◽  
Nonempty Subset ◽  
Bounded Functions ◽  
Best Coapproximation

As a counterpart to best approximation in Banach spaces, the best coapproximation was introduced by Franchetti and Furi (1972). In this paper, we shall consider the relation between coproximinality of a nonempty subsetMof a Banach spaceXand ofC(S, M)inC(S, X).

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