A note on orthogonality preserving operators
K. Chaudhury (1973)
Matematički Vesnik
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K. Chaudhury (1973)
Matematički Vesnik
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Pathak, H.K., Fisher, Brian (1996)
Archivum Mathematicum
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A. B. Thaheem (1981)
Matematički Vesnik
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C.-S. Lin (2005)
Colloquium Mathematicae
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We first introduce a notion of (a,b,c,d)-orthogonality in a normed linear space, which is a natural generalization of the classical isosceles and Pythagorean orthogonalities, and well known α- and (α,β)-orthogonalities. Then we characterize inner product spaces in several ways, among others, in terms of one orthogonality implying another orthogonality.
Tomasz Stypuła, Paweł Wójcik (2016)
Annales Mathematicae Silesianae
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In this paper we consider the approximate orthogonalities in real normed spaces. Using the notion of approximate orthogonalities in real normed spaces, we provide some new characterizations of rotundity and smoothness of dual spaces.
Javier Alonso, Carlos Benítez (1988)
Extracta Mathematicae
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Sjöstrand, J. (2008)
Serdica Mathematical Journal
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2000 Mathematics Subject Classification: 35S05. This work is the continuation of two earlier ones by the author and stimulated by many more recent contributions. We develop a very general calculus of pseudodifferential operators with microlocally defined normed symbol spaces. The goal was to attain the natural degree of generality in the case when the underlying metric on the cotangent space is constant. We also give sufficient conditions for our operators to belong to Schatten–von...
Javier Alonso, Carlos Benítez (1989)
Extracta Mathematicae
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Carlos Benítez Rodríguez (1989)
Revista Matemática de la Universidad Complutense de Madrid
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Orthogonality in inner products is a binary relation that can be expressed in many ways without explicit mention to the inner product of the space. Great part of such definitions have also sense in normed linear spaces. This simple observation is at the base of many concepts of orthogonality in these more general structures. Various authors introduced such concepts over the last fifty years, although the origins of some of the most interesting results that can be obtained for these generalized...
György Szabó (1997)
Aequationes mathematicae
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J. J. Charatonik, W. J. Charatonik, S. Miklos
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CONTENTS1. Introduction.......................................................52. Preliminaries ....................................................83. General properties .........................................114. Mappings onto fans........................................145. Mappings onto an arc.....................................206. A characterization of the top...........................277. Open mappings and their lightness................288. Inverse limits...................................................399....
Singh, Vinai K., Kumar, Santosh (2009)
General Mathematics
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H. K. Pathak, Brian Fisher (1997)
Archivum Mathematicum
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A common fixed theorem is proved for two pairs of compatible mappings on a normed vector space.