Linear Extension Operators for Ultradifferentiable Functions of Beurling Type on Compact Sets

1989 ◽  
Vol 111 (2) ◽  
pp. 309 ◽  
Author(s):  
Reinhold Meise ◽  
B. Alan Taylor
Keyword(s):  
Linear Extension ◽  
Compact Sets ◽  
Ultradifferentiable Functions

Continuous Linear Extension of Ultradifferentiable Functions of Beurling Type

1993 ◽  
Vol 164 (1) ◽  
pp. 119-139 ◽  
Author(s):  
Uwe Franken
Keyword(s):  
Linear Extension ◽  
Continuous Linear ◽  
Ultradifferentiable Functions

A closer look at the stable completion

2017 ◽  
Author(s):  
Ehud Hrushovski ◽  
François Loeser
Keyword(s):  
Inverse Limit ◽  
Unit Vector ◽  
Vector Spaces ◽  
Dimensional Vector ◽  
Compact Sets ◽  
Linear Topology ◽  
Topological Embedding ◽  
Definable Set ◽  
Finite Dimensional ◽  
The One

This chapter introduces the concept of stable completion and provides a concrete representation of unit vector Mathematical Double-Struck Capital A superscript n in terms of spaces of semi-lattices, with particular emphasis on the frontier between the definable and the topological categories. It begins by constructing a topological embedding of unit vector Mathematical Double-Struck Capital A superscript n into the inverse limit of a system of spaces of semi-lattices L(Hsubscript d) endowed with the linear topology, where Hsubscript d are finite-dimensional vector spaces. The description is extended to the projective setting. The linear topology is then related to the one induced by the finite level morphism L(Hsubscript d). The chapter also considers the condition that if a definable set in L(Hsubscript d) is an intersection of relatively compact sets, then it is itself relatively compact.

ON THREADING CONTINUOUS FUNCTIONS THROUGH COMPACT SETS

1982 ◽  
Vol 8 (2) ◽  
pp. 455
Author(s):  
Akemann ◽  
Bruckner
Keyword(s):  
Continuous Functions ◽  
Compact Sets

scholarly journals Relatively compact sets of Heisenberg manifolds

2021 ◽  
Vol 76 ◽  
pp. 101739
Author(s):  
Sebastian Boldt
Keyword(s):  
Compact Sets ◽  
Heisenberg Manifolds

A Weak Hadamard Smooth Renorming of L1(Ω, μ)

1993 ◽  
Vol 36 (4) ◽  
pp. 407-413 ◽  
Author(s):  
Jonathan M. Borwein ◽  
Simon Fitzpatrick
Keyword(s):  
Compact Sets ◽  
Weakly Compact ◽  
Weakly Compact Sets

AbstractWe show that L1(μ) has a weak Hadamard differential)le renorm (i.e. differentiable away from the origin uniformly on all weakly compact sets) if and only if μ is sigma finite. As a consequence several powerful recent differentiability theorems apply to subspaces of L1.

Weakly compact sets in L∞(μ,E)

2012 ◽  
Vol 263 (4) ◽  
pp. 1098-1102
Author(s):  
Surjit Singh Khurana
Keyword(s):  
Compact Sets ◽  
Weakly Compact ◽  
Weakly Compact Sets

Calculating direct and indirect contributions of players in cooperative games via the multi-linear extension

2018 ◽  
Vol 164 ◽  
pp. 27-30
Author(s):  
André Casajus ◽  
Frank Huettner
Keyword(s):  
Cooperative Games ◽  
Linear Extension

scholarly journals On spaces in which countably compact sets are closed, and hereditary properties

1980 ◽  
Vol 11 (3) ◽  
pp. 281-292 ◽  
Author(s):  
Mohammad Ismail ◽  
Peter Nyikos
Keyword(s):  
Compact Sets ◽  
Countably Compact ◽  
Hereditary Properties
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