φ-Orthogonally additive mappings. I
Copyright policy )φ-Orthogonally additive mappings. I
From author's introduction: This is the second part of a series of papers describing the properties of \(\phi\)-orthogonally additive mappings for a sesquilinear form \(\phi\). While in the first part the symmetric orthogonality has been studied, here we examine the cases of non- symmetric and totally isotropic orthogonalities, showing essentially the general solution to be additive. We illustrate our theory by some examples and summarize the results obtained in different possible cases. [For part I see ibid. 58, No. 1/2, 101-111 (1991; Zbl 0763.46022)].
Geometry and structure of normed linear spaces, sesquilinear form, non-isotropic bilinear form, sesquilinear forms, Generalizations of inner products (semi-inner products, partial inner products, etc.), orthogonally additive mappings with values in Abelian groups, symmetric orthogonality, non-symmetric and totally isotropic orthogonalities, Quadratic and bilinear forms, inner products, \(\phi\)-orthogonality additive mappings
Geometry and structure of normed linear spaces, sesquilinear form, non-isotropic bilinear form, sesquilinear forms, Generalizations of inner products (semi-inner products, partial inner products, etc.), orthogonally additive mappings with values in Abelian groups, symmetric orthogonality, non-symmetric and totally isotropic orthogonalities, Quadratic and bilinear forms, inner products, \(\phi\)-orthogonality additive mappings
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