Functional Analysis 2 Conjecture 1 Generation of Word

Functional Analysis 2

Conjecture 1

Generation of Word 

TANAKA Akio

1 Let it be supposed that meaning of word is expressed in pre-Hilbert space H.

2 There exists Hilbert space H^~ that contains pre-Hilbert space H as dense subspace

3 H’s linear operation and inner product is in H^~.

4 Extension of meaning at word is guaranteed in space.

5 Geometrically let it be supposed that word is open sphere which is countable closed set.

6 Language is considered in succession of spheres that is expressed as <Quantum Theory for Language>.

[References]

<Hilbert space>

Functional Analysis 2 / Note 1 / Pre-Hilbert space and Hilbert space / Tokyo May 30, 2008

<Extension of meaning>

Clifford Algebra / Conjecture 1 / Meaning Product / Tokyo January 21, 2008

<Generation of hierarchy in language>

Tube-Ring Theory / Cut and Glue / Cut-tube-ring generates multi dimensional world. / Tokyo July 7, 2006

<Sphere>

Functional Analysis / Note 1 / Baire’s Category Theorem / [Baire’s Category Theorem] / Tokyo May 9, 2008

Quantum Theory for Language Synopsis / Tokyo January 15, 2004

Tokyo May 30, 2008

Sekinan Research Field of Language

www.sekinan.org