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100   $a20220605d2021      uy             0
101 0 $aeng
135   $aurcnu||||||||
181   $ctxt$2rdacontent
182   $cc$2rdamedia
183   $acr$2rdacarrier
200 10$aZero product determined algebras /$fMatej Bresar
210  1$aCham, Switzerland :$cSpringer International Publishing,$d[2021]
210  4$d©2021
215   $a1 online resource (186 pages)
225 1 $aFrontiers in Mathematics 
311   $a3-030-80241-8 
327   $aIntro -- Preface -- Contents -- Part I Algebraic Theory -- 1 Zero Product Determined Nonassociative Algebras -- 1.1 The Definition of a zpd Nonassociative Algebra -- 1.2 Symmetrically zpd Nonassociative Algebras -- 1.3 Stability Under Algebraic Constructions -- 2 Zero Product Determined Rings and Algebras -- 2.1 zpd Rings -- 2.2 Examples and Non-examples of zpd Algebras -- 2.3 The Finite-Dimensional Case -- 3 Zero Lie/Jordan Product Determined Algebras -- 3.1 Lie Algebras and Jordan Algebras -- 3.2 zLpd Algebras -- 3.3 zJpd Algebras -- Part II Analytic Theory -- 4 Zero Product Determined Nonassociative Banach Algebras -- 4.1 Characters and the Limitations of the Algebraic Approach -- 4.2 The Definition of a zpd Nonassociative Banach Algebra -- 4.3 Point Derivations -- 5 Zero Product Determined Banach Algebras -- 5.1 Property B -- 5.2 Stability Under Analytic Constructions -- 5.3 Examples and Non-examples of zpd Banach Algebras -- 6 Zero Lie/Jordan Product Determined Banach Algebras -- 6.1 The Condition xy=yx=0 -- 6.2 zLpd Banach Algebras -- 6.3 zJpd Banach Algebras -- Part III Applications -- 7 Homomorphisms and Related Maps -- 7.1 Zero Product Preserving Maps -- 7.2 Commutativity Preserving Maps -- 7.3 Jordan Homomorphisms -- 8 Derivations and Related Maps -- 8.1 Characterizing Derivations by Action on Zero Products -- 8.2 Local Derivations -- 8.3 Derivations and Quasinilpotent Elements -- 9 Miscellany -- 9.1 Commutators and Special-Type Elements -- 9.2 Orthogonality Conditions on n-Linear Maps -- 9.3 Nonassociative Products of Matrices -- References -- Index.
410  0$aFrontiers in Mathematics 
606   $aFunctional analysis$vTextbooks
606   $aAlgebra$xStudy and teaching
606   $aÀlgebres de Banach$2thub
608   $aLlibres electrònics$2thub
615  0$aFunctional analysis
615  0$aAlgebra$xStudy and teaching.
615  7$aÀlgebres de Banach
676   $a515.7
700   $aBres?ar$b Matej$0721264
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910495163103321
996   $aZero Product Determined Algebras$91896641
997   $aUNINA