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Titlebook: Linear Operators and Approximation / Lineare Operatoren und Approximation; Proceedings of the C P. L. Butzer,J.-P. Kahane,B. Szökefalvi-Nag

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书目名称Linear Operators and Approximation / Lineare Operatoren und Approximation
副标题Proceedings of the C
编辑P. L. Butzer,J.-P. Kahane,B. Szökefalvi-Nagy
视频video
丛书名称International Series of Numerical Mathematics
图书封面Titlebook: Linear Operators and Approximation / Lineare Operatoren und Approximation; Proceedings of the C P. L. Butzer,J.-P. Kahane,B. Szökefalvi-Nag
描述These proceedings contain the lectures presented at the Conference on Linear Operators and Approximation held at the Oberwolfach Mathematical Research In­ stitute, August 14-22, 1971. There were thirty-eight such lectures while four addi­ tional papers, subsequently submitted in writing, are also included in this volume. Two of the three lectures presented by Russian mathematicians are rendered in English, the third in Russian. Furthermore, there is areport on new and unsolved problems based upon special problem sessions, with later communications from the participants. In fact, two of the papers inc1uded are devoted to solutions of some of the problems posed. The papers have been classified according to subject matter into five chapters, but it needs little emphasis that such thematic groupings are necessarily somewhat arbitrary. Thus Chapter I on Operator Theory is concerned with linear and non­ linear semi-groups, structure of single operators, unitary operators, spectral and ergodic theory. Chapter Il on Topics in Functional Analysis inc1udes papers on Riesz spaces, boundedness theorems, generalized limits, and distributions. Chapter III, entitled "Approximation in Abstract Spa
出版日期Conference proceedings 1972
关键词Operator theory; approximation theory; convolution; distribution; functional analysis
版次1
doihttps://doi.org/10.1007/978-3-0348-7283-6
isbn_softcover978-3-0348-7285-0
isbn_ebook978-3-0348-7283-6Series ISSN 0373-3149 Series E-ISSN 2296-6072
issn_series 0373-3149
copyrightSpringer Basel AG 1972
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Singular Perturbations of Semi-Group Generatorsth illustrative, and of prime importance in the theory of quantum fields, which is the source of many novel problems involving singular perturbations; and it has been developed much more than the general case.
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Eine Bemerkung zum Banachschen Fixpunktsatzwächen, daß der zugrunde liegende Raum . als Banachunterraum eines Banachraumes . angesehen wird und in . eine Kontraktionsbedingung, jedoch in . nur eine Beschränktheitsbedingung gefordert wird. Dieser spezielle Fixpunktsatz läßt sich auf das angegebene Problem anwenden.
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Singular Perturbations of Semi-Group Generatorsterms of self-adjoint operators in Hilbert space, although the central ideas are applicable to fairly general semi-groups. The self-adjoint case is both illustrative, and of prime importance in the theory of quantum fields, which is the source of many novel problems involving singular perturbations;
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