By Nigel J. Kalton

The overall challenge addressed during this paintings is to represent the attainable Banach lattice buildings separable Banach house can have. the elemental questions of forte of lattice constitution for functionality areas were studied prior to, yet right here the method makes use of random degree representations for operators in a new technique to receive extra strong conclusions. a standard result's the subsequent: If $X$ is a rearrangement-invariant area on $[0,1]$ now not equivalent to $L_2$, and if $Y$ is an order-continuous Banach lattice which has a complemented subspace isomorphic as a Banach house to $X$, then $Y$ has a complemented sublattice that's isomorphic to $X$ (with considered one of attainable lattice structures). New examples also are given of areas with a special lattice constitution.

**Read Online or Download Lattice Structures on Banach Spaces (Memoirs of the American Mathematical Society) PDF**

**Similar Science Mathematics books**

**From Kant to Hilbert Volume 1: A Source Book in the Foundations of Mathematics**

Immanuel Kant's Critique of natural cause is extensively taken to be the start line of the fashionable interval of arithmetic whereas David Hilbert used to be the final nice mainstream mathematician to pursue vital 19th century principles. This two-volume paintings presents an outline of this significant period of mathematical examine via a gently selected choice of articles.

**James Clerk Maxwell: Perspectives on his Life and Work**

James Clerk Maxwell (1831-1879) had a comparatively short, yet notable lifestyles, lived in his loved rural domestic of Glenlair, and variously in Edinburgh, Aberdeen, London and Cambridge. His scholarship additionally ranged broad - overlaying the entire significant elements of Victorian average philosophy. He used to be probably the most very important mathematical physicists of all time, coming purely after Newton and Einstein.

**Mathematics with Applications In the Management, Natural and Social Sciences (11th Edition)**

Note: You are deciding to buy a standalone product; MyMathLab doesn't come packaged with this content material. if you'd like to purchase both the actual textual content and MyMathLab, look for ISBN-10: 0321935446 /ISBN-13: 9780321935441. That package deal contains ISBN-10: 0321431308/ISBN-13: 9780321431301, ISBN-10: 0321654064/ISBN-13: 9780321654069 and ISBN-10: 0321931076/ ISBN-13: 9780321931078.

**Guide to Mathematical Methods (Macmillan Mathematical Guide Series)**

Like different books within the Macmillan Mathematical publications sequence, this publication is written for first yr undergraduates on arithmetic measure classes, and gives a delicately paced and readable creation to its subject. lots of labored examples and workouts are supplied. The publication is predicated at the first 12 months Mathematical tools path within the natural Maths division at Sheffield collage - a path which has run effectively for a few years in a self-paced studying mode.

**Extra resources for Lattice Structures on Banach Spaces (Memoirs of the American Mathematical Society)**