scholarly journals Rank-one nonincreasing additive mappings on second symmetric product spaces

2005 ◽  
Vol 402 ◽  
pp. 263-271 ◽  
Author(s):  
Ming-Huat Lim
Keyword(s):  
Symmetric Product ◽  
Product Spaces ◽  
Rank One ◽  
Additive Mappings

scholarly journals Additive mappings that preserve rank one nilpotent operators

2003 ◽  
Vol 367 ◽  
pp. 213-224 ◽  
Author(s):  
Wu Jing ◽  
Pengtong Li ◽  
Shijie Lu
Keyword(s):  
Nilpotent Operators ◽  
Rank One ◽  
Additive Mappings

Hybrid reduced and symmetric product spaces

1979 ◽  
Vol 168 (3) ◽  
pp. 213-221
Author(s):  
Michael H. Eggar
Keyword(s):  
Symmetric Product ◽  
Product Spaces

scholarly journals Additive mappings preserving operators of rank one

1993 ◽  
Vol 182 ◽  
pp. 239-256 ◽  
Author(s):  
Matjaž Omladič ◽  
Peter Šemrl
Keyword(s):  
Rank One ◽  
Additive Mappings

scholarly journals Free groups, symmetric and reduced products

1979 ◽  
Vol 28 (2) ◽  
pp. 174-178 ◽  
Author(s):  
Carlos R. Borges
Keyword(s):  
Abelian Group ◽  
Abelian Groups ◽  
Free Groups ◽  
Base Point ◽  
Subject Classification ◽  
Symmetric Product ◽  
Product Spaces ◽  
Tychonoff Space ◽  
Reduced Products

AbstractWe show that, for any Tychonoff space X with base point θ, the infinite symmetric product SP∞ X of X is a subspace of an abelian group A(X) generated by X. (This clarifies the continuity of the multiplication in SP∞ X.) Furthermore, SP∞ X is a retract of A(X). Analogous results hold for reduced product spaces, with respect to non-abelian groups.Subject classification (Amer. Math. Soc. (MOS) 1970): primary 22 A 99; secondary 54 B 15.

scholarly journals Additive mappings decreasing rank one

2002 ◽  
Vol 348 (1-3) ◽  
pp. 175-187 ◽  
Author(s):  
Bojan Kuzma
Keyword(s):  
Rank One ◽  
Additive Mappings
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