Finite-Dimensional Vector Spaces

Halmos, P. R. (1958). Finite-Dimensional Vector Spaces. Springer.

Type

Book

Intellectual base

Review or monograph

Year

1958

DOI

10.1007/978-1-4612-6387-6

ISBN

9781461263890

DOI registrant

Springer Nature

Link

https://doi.org/10.1007/978-1-4612-6387-6

Cited from

synthesized

Cited by

2 citations across 2 artifacts.

Each citation links to the sentence it supports in the citing article.

Primes

• Frame Change
  • A recognition-basis change does not require re-negotiating each figure; it requires one rule and a restatement policy.

    This sourceSections 46 (Change of basis) and 47 (Similarity) give the change of basis as a single similarity transform, under which coordinates move while the similarity invariants do not.

Domain-specific

• Matrix congruence
  • Transpose versus conjugate-transpose conventions depend on bilinear or sesquilinear forms and field; congruence preserves the represented form rather than the linear operator spectrum.

Verification

Does it exist? Confirmed. This work's DOI resolves to a registered record, which fixes its identity. That is all it fixes.

Does it back the claim? Not recorded. Neither this nor any other of the 2 citations of this work carries a recorded support check.

Support is checked per citation rather than per work — the same source can be cited soundly in one article and wrongly in another. Per-citation recording began recently, so a citation with no recorded check is a gap in the record rather than evidence it went unchecked.

See how references were verified.

Registry ID ref:903ca800abe2 · see in the full table