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Mohammadi M, Alimohammadi D. Surjective norm-additive in modulus maps between real Lipschitz algebras with Lipschitz involution. mmr 2025; 10 (4) :77-99
URL: http://mmr.khu.ac.ir/article-1-3376-en.html
URL: http://mmr.khu.ac.ir/article-1-3376-en.html
1- Arak University
2- Arak University ,d-alimohammadi@araku.ac.ir
2- Arak University ,
Abstract: (157 Views)
Let ( X ‚ d ) ( Y ‚ ρ ) τ ( X ‚ d ) η ( Y ‚ ρ ) 
for all x ∈ X 
for all y ∈ Y 
, A is a real subalgebra of C ( X ‚ τ ) X ‚ d ‚ τ ) C ( Y ‚ η ) ( Y ‚ ρ ‚ η ) T : A → B 
-homogenous norm-additive in modulus map then there exists a unique bijection 
such that 
for all f ∈ A y ∈ Y 
. Applying this fact‚ we show that if ( X ‚ d ) ( Y ‚ ρ ) 
is a surjective -homogenous norm-additive in modulus map then there exists a Lipschitz homeomorphism 
from 
to
such that 
for all 
and y ∈ Ỵ
for all for all , A is a real subalgebra of -homogenous norm-additive in modulus map then there exists a unique bijection such that for all . Applying this fact‚ we show that if is a surjective -homogenous norm-additive in modulus map then there exists a Lipschitz homeomorphism from to such that for all and
Type of Study: S |
Subject:
Anal
Received: 2024/02/24 | Revised: 2025/03/16 | Accepted: 2025/02/8 | Published: 2025/02/28 | ePublished: 2025/02/28
Received: 2024/02/24 | Revised: 2025/03/16 | Accepted: 2025/02/8 | Published: 2025/02/28 | ePublished: 2025/02/28
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