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Displaying 181 – 200 of 212

Structures of left n-invertible operators and their applications

Caixing Gu (2015)

Studia Mathematica

We study left n-invertible operators introduced in two recent papers. We show how to construct a left n-inverse as a sum of a left inverse and a nilpotent operator. We provide refinements for results on products and tensor products of left n-invertible operators by Duggal and Müller (2013). Our study leads to improvements and different and often more direct proofs of results of Duggal and Müller (2013) and Sid Ahmed (2012). We make a conjecture about tensor products of left n-invertible operators...

Subspace gaps and Weyl's theorem for an elementary operator.

Duggal, B.P. (2005)

International Journal of Mathematics and Mathematical Sciences

Sums of square-zero operators

Jin-Hsien Wang, Pei Wu (1991)

Studia Mathematica

Superstability for generalized module left derivations and generalized module derivations on a Banach module. II.

Cao, Huai-Xin, Lv, Ji-Rong, Rassias, John Michael (2009)

JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]

Superstability for generalized module left derivations and generalized module derivations on a Banach module. I.

Cao, Huai-Xin, Lv, Ji-Rong, Rassias, J.M. (2009)

Journal of Inequalities and Applications [electronic only]

Superstability of multipliers and ring derivations on Banach algebras.

Miura, Takeshi, Oka, Hirokazu, Hirasawa, Go, Takahasi, Sin-Ei (2007)

Banach Journal of Mathematical Analysis [electronic only]

Tensor product of left n-invertible operators

B. P. Duggal, Vladimir Müller (2013)

Studia Mathematica

A Banach space operator T ∈ has a left m-inverse (resp., an essential left m-inverse) for some integer m ≥ 1 if there exists an operator S ∈ (resp., an operator S ∈ and a compact operator K ∈ ) such that $\sum_{i = 0}^{m} {(- 1)}^{i} (\binom{m}{i}) S^{m - i} T^{m - i} = 0$ (resp., $\sum_{i = 0}^{m} {(- 1)}^{i} (\binom{m}{i}) T^{m - i} S^{m - i} = K$ ). If $T_{i}$ is left $m_{i}$ -invertible (resp., essentially left $m_{i}$ -invertible), then the tensor product T₁ ⊗ T₂ is left (m₁ + m₂-1)-invertible (resp., essentially left (m₁ + m₂-1)-invertible). Furthermore, if T₁ is strictly left m-invertible (resp., strictly essentially left m-invertible), then...

Tensor products and elementary operators.

Jörg Eschmeier (1988)

Journal für die reine und angewandte Mathematik

The commutators of analysis and interpolation

Cerdà, Joan (2003)

Nonlinear Analysis, Function Spaces and Applications

The boundedness properties of commutators for operators are of central importance in Mathematical Analysis, and some of these commutators arise in a natural way from interpolation theory. Our aim is to present a general abstract method to prove the boundedness of the commutator $[T, Ω]$ for linear operators $T$ and certain unbounded operators $Ω$ that appear in interpolation theory, previously known and a priori unrelated for both real and complex interpolation methods, and also to show how the abstract result...

The continuity of Lie homomorphisms

Bernard Aupetit, Martin Mathieu (2000)

Studia Mathematica

We prove that the separating space of a Lie homomorphism from a Banach algebra onto a Banach algebra is contained in the centre modulo the radical.

The Euler-Maclaurin sum formula for an inner derivation.

John Boris Miller (1982)

Aequationes mathematicae

The mappings of degree 1.

Krein, Maria Nechemevna (2006)

Abstract and Applied Analysis

The range of a derivation on a Jordan-Banach algebra

M. Brešar, A. R. Villena (2001)

Studia Mathematica

The questions when a derivation on a Jordan-Banach algebra has quasi-nilpotent values, and when it has the range in the radical, are discussed.

The structure of module derivations of $C^{n} [0, 1]$ into $L_{p} (0, 1)$

Viet Ngo (1991)

Studia Mathematica

Topological reflexivity of the spaces of (α,β)-derivations on operator algebras

Wu Jing, Shijie Lu (2003)

Studia Mathematica

We prove that the spaces of (α,β)-derivations on certain operator algebras are topologically reflexive in the weak operator topology. Characterizations of automorphisms and (α,β)-derivations on reflexive algebras are also given.

Currently displaying 181 – 200 of 212

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Displaying 181 – 200 of 212

Structures of left n-invertible operators and their applications

Subspace gaps and Weyl's theorem for an elementary operator.

Sums of square-zero operators

Superstability for generalized module left derivations and generalized module derivations on a Banach module. II.

Superstability for generalized module left derivations and generalized module derivations on a Banach module. I.

Superstability of multipliers and ring derivations on Banach algebras.

Tensor product of left n-invertible operators

Tensor products and elementary operators.

The commutators of analysis and interpolation

The continuity of Lie homomorphisms

The Euler-Maclaurin sum formula for an inner derivation.

The mappings of degree 1.

The range of a derivation on a Jordan-Banach algebra

The structure of module derivations of $C^{n} [0, 1]$ into $L_{p} (0, 1)$

Topological reflexivity of the spaces of (α,β)-derivations on operator algebras

Transforms for Operators and Symplectic Automorphisms over a Locally Compact Abelian Group.

Über Kommutatoren und Störungsmetriken und ihre Beziehung zum Funktionalkalkül.

Uncertainty principles revisited.

Unitary Mappings Between Multiresolution Analyses of L... (R) and a Parametrization of Low-Pass Filters.

Universally weakly inner one-parameter automorphism groups of seperable C*-algebras, II.

Currently displaying 181 – 200 of 212