Search results for "rete"

showing 10 items of 3470 documents

AbsolutelyLexpq - Summing Norms of Diagonal Operators inlr and Limit Orders ofLexp - Summing Operators

2001

We compute the absolutely L – summing norms of the diagonal operators acting on lr (1 ≤ q, r < ∞) and determine the limit orders of the absolutely Lexp – summing operators.

Discrete mathematicsGeneral MathematicsDiagonalBanach spaceLimit (mathematics)Operator theoryMathematicsMathematische Nachrichten
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POINTS OF $\varepsilon$ -DIFFERENTIABILITY OF LIPSCHITZ FUNCTIONS FROM ${\bb R}^n$ TO ${\bb R}^{n-1}$

2002

This paper proves that for every Lipschitz function $f:{\bb R}^n\longrightarrow {\bb R}^m,\;m < n$ , there exists at least one point of $\varepsilon$ -differentiability of $f$ which is in the union of all $m$ -dimensional affine subspaces of the form $q_0+{\rm span}\{q_1,q_2,\ldots,q_m\},\;{\rm where}\;q_j(j=0,1,\ldots,m)$ are points in ${\bb R}^n$ with rational coordinates.

Discrete mathematicsGeneral MathematicsDifferentiable functionLipschitz continuityLinear subspaceMathematicsBulletin of the London Mathematical Society
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On the construction of Ljusternik-Schnirelmann critical values in banach spaces

1991

w h e r e f a n d g are functionals on a Banach space X, are considered in many papers. The existence theorems are based on the existence of a critical vector with respect to the manifold M,={xEX: f(x)=r}. Morse theory can often be used to obtain precise information about the behaviour of the functional close to the critical level. However, this would limit the study to Hilbert spaces and functions with nondegenerate critical points. These assumptions are not always satisfied in applications and are not rleeded when applying the Ljusternik--Schnirelmann theory. Therefore, Ljusternik--Schnirelmann theory has been widely used to study various nonlinear eigenvalue problems. Very general result…

Discrete mathematicsGeneral MathematicsEberlein–Šmulian theoremInfinite-dimensional vector functionBanach spaceInterpolation spaceUniformly convex spaceBanach manifoldLp spaceReflexive spaceMathematicsActa Mathematica Hungarica
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Embedding of partial spreads in spreads

1978

Discrete mathematicsGeneral MathematicsEmbeddingMathematicsArchiv der Mathematik
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Vector-valued analytic functions of bounded mean oscillation and geometry of Banach spaces

1997

When dealing with vector-valued functions, sometimes is rather difficult to give non trivial examples, meaning examples which do not come from tensoring scalar-valued functions and vectors in the Banach space, belonging to certain classes. This is the situation for vector valued BMO. One of the objectives of this paper is to look for methods to produce such examples. Our main tool will be the vector-valued extension of the following result on multipliers, proved in [MP], which says that the space of multipliers between H and BMOA can be identified with the space of Bloch functions B, i.e. (H, BMOA) = B (see Section 3 for notation), which, in particular gives that g ∗ f ∈ BMOA whenever f ∈ H…

Discrete mathematicsGeneral MathematicsInfinite-dimensional vector functionBanach space46J15Banach manifoldHardy space30G30Bounded mean oscillationBounded operatorsymbols.namesake46B2046E40symbolsInterpolation space46B28Lp spaceMathematics
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Fixed point results for F-contractive mappings of Hardy-Rogers-type

2014

Recently, Wardowski introduced a new concept of contraction and proved a fixed point theorem which generalizes Banach contraction principle. Following this direction of research, in this paper, we will present some fixed point results of Hardy-Rogers-type for self-mappings on complete metric spaces or complete ordered metric spaces. Moreover, an example is given to illustrate the usability of the obtained results.

Discrete mathematicsGeneral MathematicsInjective metric spaceMetric spaces ordered metric spaces fixed points F-contractions of Hardy-Rogers-typeFixed-point theoremFixed pointFixed-point propertyConvex metric spaceUniform continuitySettore MAT/05 - Analisi MatematicaFréchet spaceContraction mappingMathematicsFilomat
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Kritische Zahlen und bestimmt divergente transfinite Funktionen

1958

Discrete mathematicsGeneral MathematicsMathematicsMathematische Zeitschrift
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LC n Compacta are n -Improved

1991

Discrete mathematicsGeneral MathematicsMathematicsBulletin of the London Mathematical Society
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Embeddings in strongly resolvable designs

1980

Discrete mathematicsGeneral MathematicsMathematicsArchiv der Mathematik
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Concerning the Problem of Subsets of Finite Positive Packing Measure

1997

Discrete mathematicsGeneral MathematicsMeasure (physics)MathematicsJournal of the London Mathematical Society
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