Finite universal Korovkin systems in tensor products of commutative Banach algebras

1991 ◽  
Vol 40 (2) ◽  
pp. 215-240
Author(s):  
Michael Pannenberg
Keyword(s):  
Banach Algebras ◽  
Tensor Products ◽  
Commutative Banach Algebras

Tensor Products of Banach Algebras*

1968 ◽  
Vol 11 (5) ◽  
pp. 691-701
Author(s):  
Boaz Natzitz
Keyword(s):  
Tensor Product ◽  
Banach Algebras ◽  
Tensor Products ◽  
Group Algebras ◽  
Commutative Banach Algebras

In [3] Gelbaum defined the tensor product A ⊗CB of three commutative Banach algebras, A, B and C and established some of its properties. Various examples are given and the particular case where A, B and C are group algebras of L.C.A. groups G, H and K respectively, is discussed there. It is shown there that if K is compact L1(G) ⊗ L1(K) L1(H) is isomorphic to where is L.C.A. 1 L (K) 1 1 if and only if L1(G) ⊗ L1(K) L1(H) is semisimple.

scholarly journals A constructive proof of Gelbaum's theorem on tensor products

1973 ◽  
Vol 8 (2) ◽  
pp. 211-214
Author(s):  
David A. Robbins
Keyword(s):  
Tensor Product ◽  
Maximal Ideal ◽  
Banach Algebras ◽  
Cartesian Product ◽  
Tensor Products ◽  
Maximal Ideal Space ◽  
Constructive Proof ◽  
Ideal Space ◽  
Commutative Banach Algebras

A constructive proof is given of Gelbaum's result that the maximal ideal space of the tensor product of commutative Banach algebras is homeomorphic to the cartesian product of the maximal ideal spaces.

scholarly journals Almost multiplicative functions on commutative Banach algebras

2010 ◽  
Vol 197 (1) ◽  
pp. 93-99 ◽  
Author(s):  
S. H. Kulkarni ◽  
D. Sukumar
Keyword(s):  
Banach Algebras ◽  
Multiplicative Functions ◽  
Commutative Banach Algebras
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