Zobrazeno 1 - 10
of 48
pro vyhledávání: '"Tcaciuc, Adi"'
Autor:
Tcaciuc, Adi
We show that for any bounded operator $T$ acting on infinite dimensional, complex Banach space, and for any $\varepsilon>0$, there exists an operator $F$ of rank at most one and norm smaller than $\varepsilon$ such that $T+F$ has an invariant subspac
Externí odkaz:
http://arxiv.org/abs/2006.11954
In this project we show the existence of arbitrary length arithmetic progressions in model sets and Meyer sets in the Euclidean $d$-space. We prove a van der Waerden type theorem for Meyer sets. We show that pure point subsets of Meyer sets with posi
Externí odkaz:
http://arxiv.org/abs/2003.13860
Autor:
Tcaciuc, Adi
Publikováno v:
Journal of Mathematical Analysis and Applications, 477(1)(2019), 187-195
We show that a bounded quasinilpotent operator $T$ acting on an infinite dimensional Banach space has an invariant subspace if and only if there exists a rank one operator $F$ and a scalar $\alpha\in\mathbb{C}$, $\alpha\neq 0$, $\alpha\neq 1$, such t
Externí odkaz:
http://arxiv.org/abs/1805.03277
Autor:
Tcaciuc, Adi
Publikováno v:
Duke Math. J. 168, no. 8 (2019), 1539-1550
We show that for any bounded operator $T$ acting on an infinite dimensional Banach space there exists an operator $F$ of rank at most one such that $T+F$ has an invariant subspace of infinite dimension and codimension. We also show that whenever the
Externí odkaz:
http://arxiv.org/abs/1707.07836
Autor:
Tcaciuc, Adi, Wallis, Ben
If $T$ is a bounded linear operator acting on an infinite-dimensional Banach space $X$, we say that a closed subspace $Y$ of $X$ of both infinite dimension and codimension is an almost-invariant halfspace (AIHS) under $T$ whenever $TY\subseteq Y+E$ f
Externí odkaz:
http://arxiv.org/abs/1608.00388
Autor:
Tcaciuc, Adi
Publikováno v:
In Journal of Mathematical Analysis and Applications 1 September 2019 477(1):187-195
Autor:
Popov, Alexey I., Tcaciuc, Adi
We show that any bounded operator $T$ on a separable, reflexive, infinite-dimensional Banach space $X$ admits a rank one perturbation which has an invariant subspace of infinite dimension and codimension. In the non-reflexive spaces, we show that the
Externí odkaz:
http://arxiv.org/abs/1208.5831
We investigate the relationship between the diagonal of the Fremlin projective tensor product of a Banach lattice $E$ with itself and the 2-concavification of $E$.
Comment: 18 pages
Comment: 18 pages
Externí odkaz:
http://arxiv.org/abs/1109.5380
In this paper, we study the structure of closed algebraic ideals in the algebra of operators acting on a Lorentz sequence space.
Comment: 25 pages
Comment: 25 pages
Externí odkaz:
http://arxiv.org/abs/1108.6026