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pro vyhledávání: '"Lakos, A."'
Autor:
Lakos, Gyula
In the first part of the paper, some extensions of the classical Dynkin-Specht-Wever lemma are developed. In the second part, we extend Burgunder's splitting construction, and relate back to the Kashiwara-Vergne problem.
Comment: 20 pages, Part
Comment: 20 pages, Part
Externí odkaz:
http://arxiv.org/abs/2407.20718
Autor:
Lakos, Gyula
The objective of this paper is to give alternative proofs for the symmetric Poincar\'e-Birkhoff-Witt theorem utilizing the Magnus recursion formulae or Dynkin's non-commutative polynomial comparison method and simple universal algebraic principles. A
Externí odkaz:
http://arxiv.org/abs/2407.20033
Autor:
Lakos, Gyula
Considering commutator monomials of the non-commutative associative variables $X_1,\ldots,X_n$; we determine the maximal possible number of alternating associative monomials in their noncommutative polynomial expansions. This is achieved by replacing
Externí odkaz:
http://arxiv.org/abs/2311.08939
Autor:
Lakos, Gyula
We review and provide simplified proofs related to the Magnus expansion, and improve convergence estimates. Observations and improvements concerning the Baker--Campbell--Hausdorff expansion are also made. In this Part IA, we consider uniform convexit
Externí odkaz:
http://arxiv.org/abs/2310.10156
Autor:
Lakos, Gyula
We review and provide simplified proofs related to the Magnus expansion, and improve convergence estimates. Observations and improvements concerning the Baker--Campbell--Hausdorff expansion are also made. In this Part IIA, we investigate the case of
Externí odkaz:
http://arxiv.org/abs/2304.03513
Autor:
Lakos, Gyula
The conformal range, which is a horizontal projection of the Davis-Wielandt shell, can be considered as the hyperbolic version of the numerical range. Here we explain (the analogue of) the elliptical range theorem of $2\times2$ complex matrices for t
Externí odkaz:
http://arxiv.org/abs/2211.13145
Autor:
Lakos, Gyula
A short proof of the elliptical range theorem concerning the numerical range of $2\times2$ complex matrices is given.
Comment: 2 pages
Comment: 2 pages
Externí odkaz:
http://arxiv.org/abs/2208.06248
Autor:
Cseresznyés, Dóra, Király, Csilla, Gál, Ágnes, Papucs, András, Kónya, Péter, Lakos, István, Kovács, Ivett, Rinyu, László, Szamosfalvi, Ágnes, Szabó, Csaba, Falus, György, Czuppon, György
Publikováno v:
In Chemical Geology 5 February 2024 645
Autor:
Lakos, Gyula
We review and provide simplified proofs related to the Magnus expansion, and improve convergence estimates. Observations and improvements concerning the Baker--Campbell--Hausdorff expansion are also made. In this Part III, we consider the Banach--Lie
Externí odkaz:
http://arxiv.org/abs/1910.03330
Autor:
Lakos, Gyula
We review and provide simplified proofs related to the Magnus expansion, and improve convergence estimates. Observations and improvements concerning the Baker--Campbell--Hausdorff expansion are also made. In this Part II, we consider the case of $C^*
Externí odkaz:
http://arxiv.org/abs/1910.03328