Book contents
- Frontmatter
- Contents
- Dedication
- 1 Antonio Plans: a biographical outline
- 2 Infinite dimensional geometric moduli and type-cotype theory
- 3 Hilbert space revisited
- 4 Particular M-basic sequences in Banach spaces
- 5 Behaviour of semi-Fredholm operators on a Hilbert cube
- 6 Operators from H1 into a Banach space and vector valued measures
- 7 Operators on vector sequence spaces
- 8 On the duality problem for entropy numbers
- 9 Mixed summing norms and finite dimensional Lorentz spaces
- 10 On the extension of 2-polynomials in normed linear spaces
- 11 On some operator ideals defined by approximation numbers
- 12 Some remarks on the compact non-nuclear operator problem
- 13 On some properties of A*, L1/H10 as Banach Algebras
- 14 On factorization of operators
- 15 Some properties of Banach spaces Z**/Z
1 - Antonio Plans: a biographical outline
Published online by Cambridge University Press: 04 August 2010
- Frontmatter
- Contents
- Dedication
- 1 Antonio Plans: a biographical outline
- 2 Infinite dimensional geometric moduli and type-cotype theory
- 3 Hilbert space revisited
- 4 Particular M-basic sequences in Banach spaces
- 5 Behaviour of semi-Fredholm operators on a Hilbert cube
- 6 Operators from H1 into a Banach space and vector valued measures
- 7 Operators on vector sequence spaces
- 8 On the duality problem for entropy numbers
- 9 Mixed summing norms and finite dimensional Lorentz spaces
- 10 On the extension of 2-polynomials in normed linear spaces
- 11 On some operator ideals defined by approximation numbers
- 12 Some remarks on the compact non-nuclear operator problem
- 13 On some properties of A*, L1/H10 as Banach Algebras
- 14 On factorization of operators
- 15 Some properties of Banach spaces Z**/Z
Summary
The collection of papers contained in this book is intended to be a warm homage to Antonio Plans, on the occasion of his 65 th. birthday, which at present in Spain marks the point of retirement from academic undergraduate teaching.
We have chosen the topic of Banach Spaces since it has been the center of his Mathematical interests for the last few years. The papers included have been written by friends, or students of Professor Plans, or by a few of the mathematicians who have been in touch with him for scientific reasons.
We feel sorry to restrict ourselves to Just one topic, since there are many colleagues who, for sure, would have liked to write something for this event. As a matter of fact Professor Plans is widely known by his results on Knot Theory, a field he worked on at the beginning of his research career, and an active field of research today.
We now briefly sketch Professor Plans' personality and Mathematical work. The latter will necessarily be incomplete since at this very moment he is vigorously active and producing new results. For example, he is at present giving advice to four students for their doctoral dissertations.
Born in Madrid, he was the sixth of seven children. He was brought up in the cheerful atmosphere that characterizes such large families.
Soon after there came harder times; the social environment of his country was full of tension, the religious persecution started, and the growing insecurity and anxiety ended up in the civil war (1936–39).
- Type
- Chapter
- Information
- Geometric Aspects of Banach SpacesEssays in Honour of Antonio Plans, pp. 1 - 10Publisher: Cambridge University PressPrint publication year: 1989