A Banach Space With, Up To Equivalence, Precisely Two by Read C. J. PDF

By Read C. J.

It truly is popular that the classical series areas co and Ip (1 <= p <) have, as much as equivalence, only one symmetric foundation. nevertheless, there are examplesof Orlicz series areas that have uncountably many collectively nonequivalentsymmetric bases. hence in [4], p. a hundred thirty, the query is requested whetherthere is a Banach house with, as much as equivalence, multiple symmetric basis,but no longer uncountably many. during this paper we solution the query absolutely, byexhibiting a Banach house with, as much as equivalence, accurately symmetricbases.

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Additional info for A Banach Space With, Up To Equivalence, Precisely Two Symmetric Bases

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For instance, the longitude of Paris is 2°20'14". The parallel that passes at the same distance between the two geographical poles is the geographical equator. Take a point P whose meridian cuts the equator at P'. The latitude of point P is the angle q formed by the line that runs through the center of the Earth and P' and the line that runs through the center of the Earth and P. It is positive toward the North and negative toward the South and is generally expressed in degrees. The ways in which time is measured are relatively complicated (see appendix 13) but space weather can be approached via three units of time.

Observations of this type are limited by the natural opacity of the atmosphere of our planet. Furthermore, details only become visible when their brilliancy differs from the natural background. This is the case when there is a significant difference in concentration or in temperature between a structure of the Sun and its environment. Right up to the 1990s, our description of the Sun was misled by our senses: we were unable to see the evolution of these structures, as they passed through zones of solar atmosphere with different macroscopic characteristics and therefore with brilliancies that moved through space and sometimes disappeared.

This emission is permanent and concerns the greater part of the photosphere, the solar zone known as "quiet". The energy given out during 23 At terrestrial orbit level, angle Y between the spiral of Archimedes and the axis connecting the Sun to Earth, measured on the nocturnal side, is expressed in function of speed V (km s –1) of the 23 150 404 solar wind stream according to: Y = if Y is expressed in degrees and Y = when V V expressed in radians. Length L (in astronomical units) of the magnetic field line connecting the Earth to the photosphere is then: L = LnY + Y 2 + 1 ˆ 1Ê Á Y2 + 1 + ˜ where Y is expressed in radians.

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A Banach Space With, Up To Equivalence, Precisely Two Symmetric Bases by Read C. J.

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