AbstractLet T be a closed linear operator on a complex Banach space X. If T has the spectral decomposition property (SDP) and its restriction to each spectral manifold X(T, [G ∩ σ(T)]−), G open, also has SDP, then the authors say that T has the open-restriction decomposition property (ORDP). Two criteria for this property are given. It is also proved that Albrecht's example of a decomposable operator that is not strongly decomposable nevertheless has ORDP
Abstract Let A be a bounded linear operator in a complex Banach space X. We show that Id X − A is a ...
AbstractThe concept of analytically invariant subspace, in the framework of spectral resolvents, is ...
In 1909 H. Weyl [59] studied the spectra of all compact linear perturbations of a self-adjoint opera...
AbstractIn this paper, we continue our spectral-theoretic study [8] of unbounded closed operators in...
summary:Let $X$ be a Banach space and $T$ be a bounded linear operator on $X$. We denote by $S(T)$ t...
Asymptotic spectral decomposition for an operator on a Banach space is studied in light of the well-...
We introduce the spectral property (R), for bounded linear operators defined on a Banach space, whi...
Abstract. This paper concerns a localized version of the single valued extension property of a bound...
We introduce and study the notion of limited $p$-Schur property ($1\leq p\leq\infty$) of Banach spac...
Let X be a real Banach space. A set K X is called a total cone if it is closed under addition and n...
AbstractIn this work we establish some basic properties of closed linear operators between nonarchim...
A Banach space E is said to have (D) property if every bounded linear operator T : F -> E* is weakly...
We prove that the set of all complex symmetric operators on a separable, infinite-dimensional Hilber...
Abstract. A bounded linear operator T acting on a Banach space satisfies prop-erty (m) if σ(T) \ σu...
We shall consider properties which are related to Weyl type theorem for bounded linear operators , d...
Abstract Let A be a bounded linear operator in a complex Banach space X. We show that Id X − A is a ...
AbstractThe concept of analytically invariant subspace, in the framework of spectral resolvents, is ...
In 1909 H. Weyl [59] studied the spectra of all compact linear perturbations of a self-adjoint opera...
AbstractIn this paper, we continue our spectral-theoretic study [8] of unbounded closed operators in...
summary:Let $X$ be a Banach space and $T$ be a bounded linear operator on $X$. We denote by $S(T)$ t...
Asymptotic spectral decomposition for an operator on a Banach space is studied in light of the well-...
We introduce the spectral property (R), for bounded linear operators defined on a Banach space, whi...
Abstract. This paper concerns a localized version of the single valued extension property of a bound...
We introduce and study the notion of limited $p$-Schur property ($1\leq p\leq\infty$) of Banach spac...
Let X be a real Banach space. A set K X is called a total cone if it is closed under addition and n...
AbstractIn this work we establish some basic properties of closed linear operators between nonarchim...
A Banach space E is said to have (D) property if every bounded linear operator T : F -> E* is weakly...
We prove that the set of all complex symmetric operators on a separable, infinite-dimensional Hilber...
Abstract. A bounded linear operator T acting on a Banach space satisfies prop-erty (m) if σ(T) \ σu...
We shall consider properties which are related to Weyl type theorem for bounded linear operators , d...
Abstract Let A be a bounded linear operator in a complex Banach space X. We show that Id X − A is a ...
AbstractThe concept of analytically invariant subspace, in the framework of spectral resolvents, is ...
In 1909 H. Weyl [59] studied the spectra of all compact linear perturbations of a self-adjoint opera...
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