In mathematics – specifically, in functional analysis – a Bochner-measurable function taking values in a Banach space is a function that equals almost everywhere the limit of a sequence of measurable , i.e., where the functions each have a countable range and for which the pre-image is measurable for each x. The concept is named after Salomon Bochner. Bochner-measurable functions are sometimes called strongly measurable, -measurable or just measurable (or in case that the Banach space is the space of continuous linear operators between Banach spaces).
Attributes | Values |
---|
rdfs:label
| - Bochner measurable function (en)
- ボホナー可測関数 (ja)
|
rdfs:comment
| - In mathematics – specifically, in functional analysis – a Bochner-measurable function taking values in a Banach space is a function that equals almost everywhere the limit of a sequence of measurable , i.e., where the functions each have a countable range and for which the pre-image is measurable for each x. The concept is named after Salomon Bochner. Bochner-measurable functions are sometimes called strongly measurable, -measurable or just measurable (or in case that the Banach space is the space of continuous linear operators between Banach spaces). (en)
- 数学の特に関数解析学の分野において、あるバナッハ空間に値を取るボホナー可測関数(ボホナーかそくかんすう、英: Bochner measurable function)とは、可測な可算値関数の列の極限とほとんど至る所で等しいような関数のことを言う。すなわち、 であり、各関数 の値域は可算で、各 x に対して原像 は可測であるような関数 のことをボホナー可測関数と言う。この概念の名はサロモン・ボホナーの名にちなむ。 ボホナー可測関数は、しばしばや -可測関数あるいは単に可測関数と呼ばれる。また、バナッハ空間の間の連続線型作用素の空間を、値を取るバナッハ空間とする場合には、一様可測関数と呼ばれる。 (ja)
|
dcterms:subject
| |
Wikipage page ID
| |
Wikipage revision ID
| |
Link from a Wikipage to another Wikipage
| |
Link from a Wikipage to an external page
| |
sameAs
| |
dbp:wikiPageUsesTemplate
| |
has abstract
| - In mathematics – specifically, in functional analysis – a Bochner-measurable function taking values in a Banach space is a function that equals almost everywhere the limit of a sequence of measurable , i.e., where the functions each have a countable range and for which the pre-image is measurable for each x. The concept is named after Salomon Bochner. Bochner-measurable functions are sometimes called strongly measurable, -measurable or just measurable (or in case that the Banach space is the space of continuous linear operators between Banach spaces). (en)
- 数学の特に関数解析学の分野において、あるバナッハ空間に値を取るボホナー可測関数(ボホナーかそくかんすう、英: Bochner measurable function)とは、可測な可算値関数の列の極限とほとんど至る所で等しいような関数のことを言う。すなわち、 であり、各関数 の値域は可算で、各 x に対して原像 は可測であるような関数 のことをボホナー可測関数と言う。この概念の名はサロモン・ボホナーの名にちなむ。 ボホナー可測関数は、しばしばや -可測関数あるいは単に可測関数と呼ばれる。また、バナッハ空間の間の連続線型作用素の空間を、値を取るバナッハ空間とする場合には、一様可測関数と呼ばれる。 (ja)
|
prov:wasDerivedFrom
| |
page length (characters) of wiki page
| |
foaf:isPrimaryTopicOf
| |
is Link from a Wikipage to another Wikipage
of | |
is Wikipage redirect
of | |
is foaf:primaryTopic
of | |