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An algorithm for nonlinear problems with variational inequality methods. [PDF]

open access: yesPLoS One
Huang H   +5 more
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Banach Frames for Conjugate Banach Spaces

Zeitschrift für Analysis und ihre Anwendungen, 2004
Retro Banach frames for conjugate Banach spaces have been introduced and studied. It has been proved that a Banach space E is separable if and only if E* has a retro Banach frame. Finally, a necessary and sufficient condition for a sequence in a separable Banach space to be a retro Banach frame has been given.
Jain, P. K.   +2 more
openaire   +1 more source

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   +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   +3 more
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