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math.CA2018
A sharp inequality involving hyperbolic and inverse hyperbolic functions
Roman Drnovšek
We prove that the inequality holds for all . We check with the comput…
math.FA2018
A note on Huijsmans-de Pagter problem in ordered Banach algebras
Roman Drnovšek
We give an example of a positive element in some ordered Banach algebra such that its spectrum is equal to and it is not greater than or equal to the unit element o…
math.FA2018
On order automorphisms of the effect algebra
Roman Drnovšek
We give short proofs of two Šemrl's descriptions of order automorphisms of the effect algebra. This sheds new light on both formulas that look quite complicated. Our proofs rely on…