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Let A and B be some standard operator algebras on complex Banach spaces X and Y , respectively. We give the concrete forms of linear idempotence preserving maps φ : A → B on finite-rank operators.
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참고문헌 (7)
참고문헌 신청
B. Kuzma / 2002 / Additive idempotence preservers / Linear Algebra Appl. 355 : 103 ~ 117
J. C. Hou / 1989 / Rank-preserving linear maps on B(X) / Sci. China Ser. A 32 (8) : 929 ~ 940
L. Fang / 2007 / Maps preserving the idempotency of products of operators / Linear Algebra Appl. 426 (1) : 40 ~ 52
M. Bre?ar / 1993 / Mappings which preserve idempotents, local automorphisms, and local derivations / Canad. J. Math. 45 (3) : 483 ~ 496
M. Bre?ar / 1998 / Invertibility preserving maps preserve idempotents / Michigan Math. J. 45 (3) : 483 ~ 488
J. C. Hou / 1989 / Rank-preserving linear maps on B(X) / Sci. China Ser. A 32 (8) : 929 ~ 940
L. Fang / 2007 / Maps preserving the idempotency of products of operators / Linear Algebra Appl. 426 (1) : 40 ~ 52
M. Bre?ar / 1993 / Mappings which preserve idempotents, local automorphisms, and local derivations / Canad. J. Math. 45 (3) : 483 ~ 496
M. Bre?ar / 1998 / Invertibility preserving maps preserve idempotents / Michigan Math. J. 45 (3) : 483 ~ 488
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