Strong differentiability of the norm and rotundity of the dual

AbstractFor normed linear spaces two similar characterizations of strong differentiability of the norm and rotundity of the dual space are established, but it is shown that in general there is no causal relation between these two concepts.

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Introduction to the Analysis of Normed Linear Spaces

10.1017/cbo9781139168465 ◽

2000 ◽

Cited By ~ 4

Author(s):

J. R. Giles

Keyword(s):

Linear Spaces ◽

Normed Linear Spaces

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Atomic Decompositions of Fuzzy Normed Linear Spaces for Wavelet Applications

Informatica ◽

10.15388/informatica.2014.33 ◽

2014 ◽

Vol 25 (4) ◽

pp. 643-662 ◽

Cited By ~ 11

Author(s):

Sorin Nădăban ◽

Ioan Dzitac

Keyword(s):

Atomic Decompositions ◽

Linear Spaces ◽

Normed Linear Spaces ◽

Wavelet Applications

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Generalised nuclear maps in normed linear spaces

Bulletin of the American Mathematical Society ◽

10.1090/s0002-9904-1970-12563-0 ◽

1970 ◽

Vol 76 (4) ◽

pp. 810-814 ◽

Cited By ~ 1

Author(s):

M. S. Ramanujan

Keyword(s):

Linear Spaces ◽

Normed Linear Spaces

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Local Approximate Symmetry of Birkhoff–James Orthogonality in Normed Linear Spaces

Results in Mathematics ◽

10.1007/s00025-021-01437-y ◽

2021 ◽

Vol 76 (3) ◽

Author(s):

Jacek Chmieliński ◽

Divya Khurana ◽

Debmalya Sain

Keyword(s):

Approximate Symmetry ◽

Linear Spaces ◽

Normed Linear Spaces ◽

James Orthogonality

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An orthogonality in normed linear spaces based on angular distance inequality

Aequationes Mathematicae ◽

10.1007/s00010-014-0333-z ◽

2015 ◽

Vol 90 (2) ◽

pp. 281-297 ◽

Cited By ~ 4

Author(s):

F. Dadipour ◽

F. Sadeghi ◽

A. Salemi

Keyword(s):

Angular Distance ◽

Linear Spaces ◽

Normed Linear Spaces

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CONTINUITY OF SEMIGROUP ACTIONS ON NORMED LINEAR SPACES

The Quarterly Journal of Mathematics ◽

10.1093/qmath/31.4.415 ◽

1980 ◽

Vol 31 (4) ◽

pp. 415-421 ◽

Cited By ~ 2

Author(s):

HENERI A. M. DZINOTYIWEYI

Keyword(s):

Linear Spaces ◽

Semigroup Actions ◽

Normed Linear Spaces

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Annulus conjecture and stability of homeomorphisms in infinite-dimensional normed linear spaces

Proceedings of the American Mathematical Society ◽

10.1090/s0002-9939-1970-0256419-6 ◽

1970 ◽

Vol 24 (2) ◽

pp. 272-272

Author(s):

R. A. McCoy

Keyword(s):

Linear Spaces ◽

Infinite Dimensional ◽

Normed Linear Spaces

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Normed Linear Spaces

Graduate Texts in Mathematics - Analysis for Applied Mathematics ◽

10.1007/978-1-4757-3559-8_1 ◽

2001 ◽

pp. 1-60

Author(s):

Ward Cheney

Keyword(s):

Linear Spaces ◽

Normed Linear Spaces

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BEST APPROXIMATION IN NORMED LINEAR SPACES BY ELEMENTS OF LINEAR SUBSPACES

Bulletin of the London Mathematical Society ◽

10.1112/blms/5.2.249 ◽

1973 ◽

Vol 5 (2) ◽

pp. 249-250

Author(s):

A. L. Brown

Keyword(s):

Best Approximation ◽

Linear Spaces ◽

Linear Subspaces ◽

Normed Linear Spaces

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Normed Linear Spaces of Trigonometric Transforms and Functions Analytic in the Unit Disk

Fourier analysis ◽

10.1201/9781003072133-18 ◽

2020 ◽

pp. 413-422

Author(s):

Časlav V. Stanojević

Keyword(s):

Unit Disk ◽

Linear Spaces ◽

Normed Linear Spaces ◽

Trigonometric Transforms

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