1.

Record Nr.

UNINA9910788857203321

Autore

Junge Marius

Titolo

Mixed-norm inequalities and operator space Lp embedding theory / / Marius Junge, Javier Parcet

Pubbl/distr/stampa

Providence, Rhode Island : , : American Mathematical Society, , 2010

©2010

ISBN

1-4704-0567-9

Descrizione fisica

1 online resource (155 p.)

Collana

Memoirs of the American Mathematical Society, , 0065-9266 ; ; Number 953

Classificazione

SI 130

Disciplina

515/.2433

Soggetti

Harmonic analysis

Banach spaces

Quantum statistics

Lp spaces

Noncommutative function spaces

Martingales (Mathematics)

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

"Volume 203, number 953 (2nd of 5 numbers)."

Nota di bibliografia

Includes bibliographical references.

Nota di contenuto

""Contents""; ""Abstract""; ""Introduction""; ""0.1. Noncommutative function spaces""; ""0.2. Amalgamated Lp spaces""; ""0.3. Conditional Lp spaces""; ""0.4. Intersection spaces""; ""0.5. Mixed-norm inequalities""; ""0.6. Operator space Lp embeddings""; ""Chapter 1. Noncommutative integration""; ""1.1. Noncommutative Lp spaces""; ""1.2. Pisier's vector-valued Lp spaces""; ""1.3. The spaces Lpr(M, E) and Lpc(M, E)""; ""Chapter 2. Amalgamated Lp spaces""; ""2.1. Haagerup's construction""; ""2.2. Triangle inequality on  K""; ""2.3. A metric structure on the solid K""

""Chapter 3. An interpolation theorem""""3.1. Finite von Neumann algebras""; ""3.2. Conditional expectations on  K""; ""3.3. General von Neumann algebras I""; ""3.4. General von Neumann algebras II""; ""3.5. Proof of the main interpolation theorem""; ""Chapter 4. Conditional Lp spaces""; ""4.1. Duality""; ""4.2. Conditional L spaces""; ""4.3. Interpolation results and applications""; ""Chapter 5. Intersections of Lp spaces""; ""5.1. Free Rosenthal inequalities""; ""5.2. Estimates for BMO



type norms""; ""5.3. Interpolation of 2-term intersections""

""5.4. Interpolation of 4-term intersections""""Chapter 6. Factorization of Jp,qn(M, E)""; ""6.1. Amalgamated tensors""; ""6.2. Conditional expectations and ultraproducts""; ""6.3. Factorization of the space J,1n(M, E)""; ""Chapter 7. Mixed-norm inequalities""; ""7.1. Embedding of Jp,qn(M, E) into Lp(A;  qn)""; ""7.2. Asymmetric Lp spaces and noncommutative (pq)""; ""Chapter 8. Operator space Lp embeddings""; ""8.1. Embedding Schatten classes""; ""8.2. Embedding into the hyperfinite factor""; ""8.3. Embedding for general von Neumann algebras""; ""Bibliography""

2.

Record Nr.

UNINA9910149544503321

Autore

Pendergast George

Titolo

At the Crop Farm

Pubbl/distr/stampa

Gareth Stevens Publishing LLLP

ISBN

1-4824-5515-3

Descrizione fisica

1 online resource (24 p.)

Collana

Fun on the Farm

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Sommario/riassunto

Farmers are responsible for many of the foods we eat. From beans to corn and even rice, farmers all around the world use their land to feed people. Through accessible text paired with colorful photographs, beginning readers will love taking a look at the lives of crop farmers tending to their fields. They'll learn what season farmers plant in, how plants grow in different areas, and even a bit about hydroponics, which is growing plants with just water and no dirt at all.