M. Kandić

activity

20132023

most citedUnbounded norm topology beyond normed lattices

2 citations · 4 across the 5 of their papers we have counts for

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6 papers · 1 filter

math.FA2023

Commutators greater than a perturbation of the identity

Roman Drnovšek, Marko Kandić

Let $a$ and $b$ be elements of an ordered normed algebra $A$ with unit $e$ . Suppose that the element $a$ is positive and that for some $ε > 0$ there exists an elem…

math.FA2022

Hyperinvariant subspaces for sets of polynomially compact operators

Janko Bračič, Marko Kandić

We prove the existence of a non-trivial hyperinvariant subspace for several sets of polynomially compact operators. The main results of the paper are: (i) a non-trivial norm closed…

math.FA2017★ 2 cited

Unbounded norm topology beyond normed lattices

M. Kandić, H. Li, V. G. Troitsky

In this paper, we generalize the concept of unbounded norm (un) convergence: let $X$ be a normed lattice and $Y$ a vector lattice such that $X$ is an order dense ideal in $Y$ ; we s…

math.FA2016

Unbounded Norm Topology in Banach Lattices

M. Kandić, M. A. A. Marabeh, V. G. Troitsky

A net $(x_{α})$ in a Banach lattice $X$ is said to un-converge to a vector $x$ if $∣ x_{α} - x ∣ \land u \to 0$ for every $u \in X_{+}$ . In this paper, we inve…

math.FA2014

On the positive commutator in the radical

Marko Kandić, Klemen Šivic

In this paper we prove that a positive commutator between a positive compact operator $A$ and a positive operator $B$ is in the radical of the Banach algebra generated by $A$ and $…

math.FA2013★ 2 cited

From local to global ideal-triangularizability

Roman Drnovšek, Marko Kandić

Let L be a Banach lattice with order continuous norm, and let S be a multiplicative semigroup of ideal-triangularizable positive compact operators on L such that, for every pair A,…