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Additive mappings decreasing rank one

- B. Kuzma
- Mathematics
- 15 June 2002

Abstract Let B ( X ) be the algebra of bounded operators on a real or complex Banach space X , and F( X ) a subalgebra of finite rank operators. A complete description of additive mappings Φ:F( X… Expand

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Mappings that preserve pairs of operators with zero triple Jordan product

- M. Dobovišek, B. Kuzma, Gorazd Lešnjak, C. Li, T. Petek
- Mathematics
- 15 October 2007

Abstract Let F be a field and n ⩾ 3 . Suppose S 1 , S 2 ⊆ M n ( F ) contain all rank-one idempotents. The structure of surjections ϕ : S 1 → S 2 satisfying ABA = 0 ⇔ ϕ ( A ) ϕ ( B ) ϕ ( A ) = 0 is… Expand

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Additive mappings on symmetric matrices

Additive mappings, which do not increase the minimal rank of symmetric matrices are classified in characteristic two or three.

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Additive spectrum compressors

- B. Kuzma
- Mathematics
- 1 April 2005

Abstract Additive bijections Φ : A → B , which compress the spectrum between two unital, standard operator algebras, are characterized. Applications to local approximate (anti)multiplications are… Expand

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Additive idempotence preservers

- B. Kuzma
- Mathematics
- 1 November 2002

Abstract Let A be a local matrix algebra over a field of characteristic different from 2, B an arbitrary algebra, and X , Y Banach spaces. Additive mappings Φ: A → B , which preserve idempotents are… Expand

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On diameter of the commuting graph of a full matrix algebra over a finite field

- David Dolzan, D. K. Bukovsek, B. Kuzma, Polona Oblak
- Computer Science, Mathematics
- Finite Fields Their Appl.
- 2016

TLDR

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Commuting graphs and extremal centralizers

- G. Dolinar, A. Guterman, B. Kuzma, Polona Oblak
- Mathematics, Computer Science
- Ars Math. Contemp.
- 26 December 2013

TLDR

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On the gibson barrier for the pólya problem

- G. Dolinar, A. Guterman, B. Kuzma
- Mathematics
- 26 July 2012

We study lower bounds on the number of nonzero entries in (0, 1) matrices such that the permanent is always convertible to the determinant by placing ± signs on matrix entries.

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On maximal distances in a commuting graph

- G. Dolinar, B. Kuzma, Polona Oblak
- Mathematics
- 28 September 2010

We study maximal distances in the commuting graphs of matrix algebras defined over algebraically closed fields. In particular, we show that the maximal distance can be attained only between two… Expand

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Extremal matrix centralizers

- G. Dolinar, A. Guterman, B. Kuzma, Polona Oblak
- Mathematics
- 1 April 2013

Abstract Matrices with maximal or minimal centralizers are classified over fields with sufficiently large orders.

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