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Linear maps preserving equivalence or asymptotic equivalence on Banach space

Let XX be a complex Banach space with dimension at least two and B(X)B\left(X) the algebra of all bounded linear operators on XX. We show that a bijective linear map Φ\Phi preserves asymptotic equivalence if and only if it preserves equivalence, and in turn, if and only if there exist invertible bo...

Whakaahuatanga katoa

I tiakina i:
Ngā taipitopito rārangi puna kōrero
Ngā kaituhi matua: Qin Zijie, Chen Lin
Hōputu: Artigo
Reo:Inglês
I whakaputaina: De Gruyter 2023-10-01
Rangatū:Open Mathematics
Ngā marau:
Urunga tuihono:https://doi.org/10.1515/math-2023-0125
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