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A new class of linear and bounded operators is introduced. This class is more general than the classes of operators from [4], [5] and [8]. Using this class lΦ,φ we also introduce a class of locally convex spaces which is more general than the classes of the nuclear spaces [2], [3] and φ-nuclear spaces [6]. For this class of operators similar properties are established to those of the well known classes lp, lφ, lΦ and also the stability of the tensor product is proved. The stability of the tensor...

$M$ -convexity and best approximation.

Chatterjee, Dipak (1980)

Publications de l'Institut Mathématique. Nouvelle Série

$M$ -ideals of compact operators into $ℓ_{p}$

Kamil John, Dirk Werner (2000)

Czechoslovak Mathematical Journal

We show for $2 \leq p < \infty$ and subspaces $X$ of quotients of $L_{p}$ with a $1$ -unconditional finite-dimensional Schauder decomposition that $K (X, ℓ_{p})$ is an $M$ -ideal in $L (X, ℓ_{p})$ .

M - Paranormal Operators

S.C. Arora, Ramesh Kumar (1981)

Publications de l'Institut Mathématique

$M (r, s)$ -ideals of compact operators

Rainis Haller, Marje Johanson, Eve Oja (2012)

Czechoslovak Mathematical Journal

We study the position of compact operators in the space of all continuous linear operators and its subspaces in terms of ideals. One of our main results states that for Banach spaces $X$ and $Y$ the subspace of all compact operators $𝒦 (X, Y)$ is an $M (r_{1} r_{2}, s_{1} s_{2})$ -ideal in the space of all continuous linear operators $ℒ (X, Y)$ whenever $𝒦 (X, X)$ and $𝒦 (Y, Y)$ are $M (r_{1}, s_{1})$ - and $M (r_{2}, s_{2})$ -ideals in $ℒ (X, X)$ and $ℒ (Y, Y)$ , respectively, with $r_{1} + s_{1} / 2 > 1$ and $r_{2} + s_{2} / 2 > 1$ . We also prove that the $M (r, s)$ -ideal $𝒦 (X, Y)$ in $ℒ (X, Y)$ is separably determined. Among others, our results complete and improve some well-known results...

Majoration de multiplicité pour l'opérateur de Schrödinger

Colette Anné (1989/1990)

Séminaire de théorie spectrale et géométrie

Majoration des semi-groupes de contractions de L1 et applications

Claude Kipnis (1974)

Annales de l'I.H.P. Probabilités et statistiques

Majoration du nombre de résonances près de l'axe réel (d'après un travail avec M. Zworski)

Johannes Sjöstrand (1991/1992)

Séminaire Équations aux dérivées partielles (Polytechnique)

Majorization of $C_{0}$ -semigroups in ordered Banach spaces

Gerd Herzog, Peer Christian Kunstmann (2006)

Commentationes Mathematicae Universitatis Carolinae

We give criteria for domination of strongly continuous semigroups in ordered Banach spaces that are not necessarily lattices, and thus obtain generalizations of certain results known in the lattice case. We give applications to semigroups generated by differential operators in function spaces which are not lattices.

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Lp-essential Spectral Theory of Ordinary Differential Operators With Almost Constant Coefficients

L//p-оценки решений одной разностной краевой задачи.

L-sets and the Pelczynski-Pitt theorem.

Lucid operators on Banach spaces

Lusternik-Schnirelman Theory and Non-Linear Eigenvalue Problems.

l(Φ,φ) operators and (Φ,φ)-spaces.

$M$ -convexity and best approximation.

$M$ -ideals of compact operators into $ℓ_{p}$

M - Paranormal Operators

$M (r, s)$ -ideals of compact operators

Majoration de multiplicité pour l'opérateur de Schrödinger

Majoration des semi-groupes de contractions de L1 et applications

Majoration du nombre de résonances près de l'axe réel (d'après un travail avec M. Zworski)

Majorization of $C_{0}$ -semigroups in ordered Banach spaces

Majorizations for Generalized s-Numbers in Semifinite von Neumann Algebras.

Mann iterates of directionally nonexpansive mappings in hyperbolic spaces.

Mann iteration converges faster than Ishikawa iteration for the class of Zamfirescu operators.

Mann type implicit iteration approximation for multivalued mappings in Banach spaces.

Mapping properties of maximal operators

Mappings into spaces of operators

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