Maps preserving the dimension of fixed points of products of operators

DOI10.1080/03081087.2013.823680zbMath1315.47036arXiv1309.3429OpenAlexW2084302341MaRDI QIDQ2929471

Roja Hosseinzadeh, Ali Taghavi

Publication date: 12 November 2014

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1309.3429

zbMATH Keywords

fixed pointoperator algebrapreserver

Mathematics Subject Classification ID

Banach algebras of continuous functions, function algebras (46J10) Linear operators on Banach algebras (47B48) Transformers, preservers (linear operators on spaces of linear operators) (47B49)

Related Items (10)

Maps preserving the fixed points of triple Jordan products of operators ⋮ MAPS PRESERVING THE COINCIDENCE POINTS OF OPERATORS ⋮ Maps preserving a certain product of operators ⋮ Maps preserving the ascent and descent of product of operators ⋮ Jordan product and fixed points preservers ⋮ A characterization of an isomorphism ⋮ Maps preserving the square zero of η-Lie product of operators ⋮ Mappings on C*-algebras preserving the sum of absolute values ⋮ Nonlinear fixed points preservers ⋮ Maps preserving fixed points of generalized product of operators

Cites Work

• Linear maps preserving products of positive or Hermitian matrices
• Maps preserving the nilpotency of products of operators
• Linear maps preserving idempotency of products or triple Jordan products of operators
• Maps preserving the idempotency of products of operators
• Mappings that preserve pairs of operators with zero triple Jordan product
• Zero-product preserving additive maps on symmetric operator spaces and self-adjoint operator spaces
• Jordan zero-product preserving additive maps on operator algebras
• Additive mappings onC*-algebras preserving absolute values
• Maps preserving numerical ranges of operator products
• LINEAR MAPS PRESERVING IDEMPOTENT OPERATORS
• Mappings preserving zero products
• Maps preserving operator pairs whose products are projections

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