A Density Property and Applications

1974 ◽  
Vol 199 ◽  
pp. 75
Author(s):  
Richard J. O'Malley
Keyword(s):  
Density Property

scholarly journals Algebraic volume density property of affine algebraic manifolds

2010 ◽  
Vol 181 (3) ◽  
pp. 605-647 ◽  
Author(s):  
Shulim Kaliman ◽  
Frank Kutzschebauch
Keyword(s):  
Volume Density ◽  
Density Property ◽  
Algebraic Manifolds

scholarly journals The numerical ranges of unbounded linear operators

1975 ◽  
Vol 12 (1) ◽  
pp. 23-25 ◽  
Author(s):  
Béla Bollobás ◽  
Stephan E. Eldridge
Keyword(s):  
Banach Space ◽  
Scalar Field ◽  
Banach Spaces ◽  
Unbounded Operator ◽  
Numerical Range ◽  
Linear Operators ◽  
Density Property ◽  
Unbounded Linear Operators

Giles and Joseph (Bull. Austral. Math. Soc. 11 (1974), 31–36), proved that the numerical range of an unbounded operator on a Banach space has a certain density property. They showed, in particular, that the numerical range of an unbounded operator on certain Banach spaces is dense in the scalar field. We prove that the numerical range of an unbounded operator on a Banach space is always dense in the scalar field.

scholarly journals Criteria for the density property of complex manifolds

2007 ◽  
Vol 172 (1) ◽  
pp. 71-87 ◽  
Author(s):  
Shulim Kaliman ◽  
Frank Kutzschebauch
Keyword(s):  
Complex Manifolds ◽  
Density Property

scholarly journals The algebraic density property for affine toric varieties

2015 ◽  
Vol 219 (8) ◽  
pp. 3685-3700 ◽  
Author(s):  
Frank Kutzschebauch ◽  
Matthias Leuenberger ◽  
Alvaro Liendo
Keyword(s):  
Toric Varieties ◽  
Density Property

scholarly journals Algebraic density property of Danilov–Gizatullin surfaces

2012 ◽  
Vol 272 (3-4) ◽  
pp. 1187-1194 ◽  
Author(s):  
Fabrizio Donzelli
Keyword(s):  
Density Property

scholarly journals On the weakly-* dense subsets in $L^{\infty}(\Omega)$

2021 ◽  
Vol 16 ◽  
pp. 149
Author(s):  
P.I. Kogut ◽  
T.N. Rudyanova
Keyword(s):  
Weak Convergence ◽  
Density Property ◽  
Smooth Functions ◽  
Compactly Supported

In this paper we study the density property of the compactly supported smooth functions in the space $L^{\infty}(\Omega)$. We show that this set is dense with respect to the weak-* convergence in variable spaces.

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