Introductory Functional Analysis with Applications

Kreyszig, E. (1978). Introductory Functional Analysis with Applications. Wiley.

Type

Book

Intellectual base

Textbook

Year

1978

ISBN

9780471507314

Link

https://openlibrary.org/books/OL4536546Mmatched

Cited by

2 citations across 2 artifacts.

Domain-specific

• Fundamental theorem of Hilbert spaces
  • … distinction between constitutive identity and a convenient observable transfers from In a Hilbert space, each continuous antilinear functional has unique form x↦〈x,y〉 for one y in H. to An incomplete dense inner-product subspace can possess bounded functionals whose representing vector lies only in its completion..
• Total subset
  • … between constitutive identity and a convenient observable transfers from The trigonometric exponentials form a total set in standard L2 spaces because their finite spans are dense. to A proof states the topology and scalar field and distinguishes a total set from a Hamel basis, Schauder basis or merely dense set..

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