1. |
On Subspaces of the SpacesL locpand of Their Strong Duals |
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Mathematische Nachrichten,
Volume 197,
Issue 1,
1999,
Page 5-18
Angela A. Albanese,
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摘要:
AbstractFor Ω an open subset of IRNand 1
ISSN:0025-584X
DOI:10.1002/mana.19991970102
出版商:WILEY‐VCH Verlag
年代:1999
数据来源: WILEY
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2. |
Operator Ideals, Orthonormal Systems and Lacunary Sets |
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Mathematische Nachrichten,
Volume 197,
Issue 1,
1999,
Page 19-28
Franziska Baur,
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摘要:
AbstractGiven an orthonormal systemBin someL2(u) we consider the operator ideals IIBandTBofB‐summing andB‐type operators and some related ideals. We characterize by certain weak compactness properties when IIBis equal to the operator ideal II2of 2‐summing operators. In lose thatBconsists of characters of a compact abelian group we characterize when IIBcoincides with the operator ideal IIγof Gauss‐summing operators and whenTBcoincides with the operator ideal IIpof type‐2 operators. Moreover, we give a necessary and sufficient condition for Fig to contain the operator ideal IIpofp‐summing operators (2
ISSN:0025-584X
DOI:10.1002/mana.19991970103
出版商:WILEY‐VCH Verlag
年代:1999
数据来源: WILEY
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3. |
On the Trace Formula of Perturbation Theory. II |
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Mathematische Nachrichten,
Volume 197,
Issue 1,
1999,
Page 29-49
Peter Jonas,
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摘要:
AbstractIn a previous paper for a class of pairs of operators in a Hilbert space with nuclear difference or under a more general nuclearity condition there was introduced a spectral shift functional. Here we consider the local integrability of this spectral shift functional, i.e., the problem when this functional can locally be represented by an integrable function. The general results are then applied to pairs of definitizable and locally definitizable unitary operators in a Krein space.
ISSN:0025-584X
DOI:10.1002/mana.19991970104
出版商:WILEY‐VCH Verlag
年代:1999
数据来源: WILEY
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4. |
On a Schwarz Lemma for Bounded Symmetric Domains |
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Mathematische Nachrichten,
Volume 197,
Issue 1,
1999,
Page 51-60
Wilhelm Kaup,
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ISSN:0025-584X
DOI:10.1002/mana.19991970105
出版商:WILEY‐VCH Verlag
年代:1999
数据来源: WILEY
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5. |
Stability of Bifurcating Periodic Solutions of Differential Inequalities in IR3 |
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Mathematische Nachrichten,
Volume 197,
Issue 1,
1999,
Page 61-88
Milan Kučera,
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摘要:
AbstractA bifurcation problem for the inequality\documentclass{article}\pagestyle{empty}\begin{document}$$\left\{ {\begin{array}{*{20}c} {U\left( t \right) \in K,} \\ {\left( {U\left( t \right) - A_\lambda U\left( t \right) - G\left( {\lambda,U\left( t \right)} \right),V - U\left( t \right)} \right) \ge 0\;{\rm{for}}\;{\rm{all}}\;V \in K,\;{\rm{a}}{\rm{.a}}{\rm{.}}\;t \in \left[ {0,T} \right]} \\ \end{array}} \right.$$\end{document}, is considered, whereKis a closed convex cone in IR3,Aλa real 3×3 matrix depending continuously on a real parameter λ,Ga small perturbation. Small periodic solutions bifurcating at λ0from the branch of trivial solutions are studied. It is proved that these solutions are stable or they are contained in a certain attracting set Aλif they correspond to parameters λ for which the trivial solution is unstable. Further, unstable solutions exist among them if they correspond to parameters for which the trivial solution is s
ISSN:0025-584X
DOI:10.1002/mana.19991970106
出版商:WILEY‐VCH Verlag
年代:1999
数据来源: WILEY
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6. |
Translative and Kinematic Formulae for Curvature Measures of Flat Sections |
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Mathematische Nachrichten,
Volume 197,
Issue 1,
1999,
Page 89-101
Jan Rataj,
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摘要:
AbstractLetXbe a set of positive reach in thed‐dimensional Euclidean space. We present formulae for the integrals of the curvature measures of flat sections ofXwith respect to all translations/Euclidean motions of the sectioning flat. We consider the (generalized) curvature measures supported by the corresponding unit normal bundle. As a special case we obtain formulae for the spherical area measure
ISSN:0025-584X
DOI:10.1002/mana.19991970107
出版商:WILEY‐VCH Verlag
年代:1999
数据来源: WILEY
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7. |
The Full T1 Theorem for Certain Triebel ‐ Lizorkin Spaces |
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Mathematische Nachrichten,
Volume 197,
Issue 1,
1999,
Page 103-133
Kunchuan Wang,
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摘要:
AbstractPrevious authors have considered generalizations of the David‐JournéT1 theorem to the scale of Triebel ‐ Lizorkin spaces (IRn) under theT1 = 0 andT= 0 assumptions, whereTis a (generalized) Calderon ‐ Zygmund operator. We prove boundedness on (IRn) under weaker assumptions onT1 andT1, which are related to the sharpT1,TBMOassumptions for in the David‐Journé theorem. In some cases we also show that our conditions are sharp. By similar techniques, we also obtain sharper conditions for “families of molecules” and “norming families”
ISSN:0025-584X
DOI:10.1002/mana.19991970108
出版商:WILEY‐VCH Verlag
年代:1999
数据来源: WILEY
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8. |
On the Reconstruction of a String from Spectral Data |
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Mathematische Nachrichten,
Volume 197,
Issue 1,
1999,
Page 135-156
Matthias Weber,
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摘要:
AbstractWe consider the problem to reconstruct the mass distribution of a string where the mass is concentrated in a finite number of points, or, equivalently, the problem to reconstruct a simply connected mass spring system with unknown masses and stiffness parameters if the following data are given.Problem 1: The spectra of the string and of a modification of the string, or.Problem 2: The spectra of two different modifications of the string.Here a modification of the string is a string which appears if we link the unknown string with another string of known mass distribution.The paper contains a necessary condition for the existence of a solution of Problem 1, and explicit formulas and an algorithm for the solutions of the Problems 1 and 2 under the condition that there exists a solution.For the case that the mass distribution of the unknown string is not discrete we consider the problem to find discrete approximations of this distribution from the respective spectral data.The methods are based on the spectral theory of generalized second order differential operators as developed by M. G. Krein
ISSN:0025-584X
DOI:10.1002/mana.19991970109
出版商:WILEY‐VCH Verlag
年代:1999
数据来源: WILEY
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9. |
Abel Basis of Root Functions of Regular Boundary Value Problems |
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Mathematische Nachrichten,
Volume 197,
Issue 1,
1999,
Page 157-187
Sasun Yakubov,
Yakov Yakubov,
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摘要:
AbstractWe study regular boundary value problems for ordinary differential equations with a variable complex ‐ valued coefficient at the principal term of the equation. Simple algebraic conditions on the coefficient that guarantee that a system of root functions of such boundary value problems forms an Abel basis have been foun
ISSN:0025-584X
DOI:10.1002/mana.19991970110
出版商:WILEY‐VCH Verlag
年代:1999
数据来源: WILEY
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10. |
Masthead |
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Mathematische Nachrichten,
Volume 197,
Issue 1,
1999,
Page -
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ISSN:0025-584X
DOI:10.1002/mana.19991970101
出版商:WILEY‐VCH Verlag
年代:1999
数据来源: WILEY
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