In this paper, the isometry properties of SFS-spaces are studied. It is proved that a linear operator is a surjective isometry if and only if it maps the set of indecomposable geometric tripotents onto itself and preserves the orthogonality relations on the set of indecomposable geometric tripotents.

strongly facially symmetric space, norm exposed face, geometric tripotent, geometric Peirce projections, surjective isometry.

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