Results 171 to 180 of about 1,127,143 (202)

SCALES OF BANACH SPACES

Russian Mathematical Surveys, 1966
CONTENTSIntroduction § 1. Scales of Banach spaces § 2. Normal embeddings of spaces and of their duals § 3. Normal scale of spaces. Related spaces § 4. Interpolation properties. Minimal and maximal scales § 5. The Holder scale § 6. The Marcinkiewicz scale § 7. Analytic scales § 8. Spaces of means § 9. Hilbert scalesAddendum: Yu. I. Petunin. A non-linear
Kreĭn, S. G., Petunin, Yu. I.
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ON BI-BANACH FRAMES IN BANACH SPACES

International Journal of Wavelets, Multiresolution and Information Processing, 2014
Bi-Banach frames in Banach spaces have been defined and studied. A necessary and sufficient condition under which a Banach space has a Bi-Banach frame has been given. Finally, Pseudo exact retro Banach frames have been defined and studied.
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Totally Incomparable Banach Spaces and Three‐Space Banach Space Ideals

Mathematische Nachrichten, 1987
AbstractIn this paper we present four methods to generate three‐space BANACH space ideals. They are based on the concept of total incomparability of H. P. ROSENTHAL and on a dual concept, total coincomparability, which is here introduced. We use the assertion that the sum of two totally incomparable closed subspaces of a BANACH space is norm‐closed ...
Alvarez, Teresa, Gonzalez, Manuel, Onieva, Victor M.   +2 more
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Banach Spaces and Banach Lattices

2016
We shall now give some background in the theory of normed and Banach spaces, including the key definitions of dual and bidual spaces and of an isomorphism and an isometric isomorphism between two normed spaces. In particular, we shall show how certain bidual spaces can be embedded in other Banach spaces.
H. G. Dales, F. K. Dashiell, A. T.-M. Lau, D. Strauss   +3 more
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ON FRAME SYSTEMS IN BANACH SPACES

International Journal of Wavelets, Multiresolution and Information Processing, 2009
Banach frame systems in Banach spaces have been defined and studied. A sufficient condition under which a Banach space, having a Banach frame, has a Banach frame system has been given. Also, it has been proved that a Banach space E is separable if and only if E* has a Banach frame ({φn},T) with each φnweak*-continuous.
P. K. Jain, S. K. Kaushik, Nisha Gupta
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A Banach Space of Distributions (I)

Journal of the London Mathematical Society, 1957
Soit \(L\) l'espace des fonctions \(f\) sommables sur un intervalle \(I = [0, c]\), muni de sa norme usuelle, \(\Vert f\Vert = \int_0^c \vert f\vert\,dx\). Posons \(L_k = D^k L\), avec la topologie image de \(0\) de \(L\) par \(D^k\); \((D\) opérateur de dérivation). Il résulte immédiatement de ce que le rapporteur a établi en 1954 [Rend. Mat. Appl. 14,
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Functional Inequalities in Banach Spaces and Fuzzy Banach Spaces

2016
This paper is a survey on the Hyers–Ulam stability of additive functional inequalities, quadratic functional inequalities, additive ρ-functional inequalities, and quadratic ρ-functional inequalities in Banach spaces and fuzzy Banach spaces. Its content is divided into the following sections: 1. Introduction and Preliminaries.
Choonkil Park, Jung Rye Lee, Themistocles M. Rassias   +2 more
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On reducibility in Banach spaces

2000
Summary: Our main result is an extension of some results of \textit{M. T. Jahandideh} [Proc. Am. Math. Soc. 125, No. 9, 2661--2670 (1997; Zbl 0883.47021)] to reducible operators on Banach spaces instead of Banach lattices.
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On the Space of Subspaces of a Banach Space

Journal of the London Mathematical Society, 1972
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On Lipschitz-free spaces over spheres of Banach spaces

Journal of Mathematical Analysis and Applications, 2021
Pedro Kaufmann, Leandro Candido
exaly