[{"@context":"http:\/\/schema.org\/","@type":"BlogPosting","@id":"https:\/\/wiki.edu.vn\/all2jp\/wiki47\/archives\/3955#BlogPosting","mainEntityOfPage":"https:\/\/wiki.edu.vn\/all2jp\/wiki47\/archives\/3955","headline":"Hermitic Spectral Measure -Wikipedia\u3001\u7121\u6599\u767e\u79d1\u4e8b\u5178","name":"Hermitic Spectral Measure -Wikipedia\u3001\u7121\u6599\u767e\u79d1\u4e8b\u5178","description":"before-content-x4 \u30a8\u30eb\u30df\u30bf\u30fc\u30b9\u30da\u30af\u30c8\u30eb\u6e2c\u5b9a \uff08\u307e\u305f 1\u3064\u306e\u8131\u819c\u5206\u5e03 \uff09 – \u7279\u5b9a\u306e\u30c8\u30dd\u30ed\u30b8\u30ab\u30eb\u7a7a\u9593\u306e\u30dc\u30ec\u30ed\u30a6\u30a3\u30b3\u30ec\u30af\u30b7\u30e7\u30f3\u306e\u03c3\u3067\u6c7a\u5b9a\u3055\u308c\u305f\u6dfb\u52a0\u5264\u30d9\u30af\u30c8\u30eb\u6e2c\u5b9a\u306e\u5909\u63db\u3068\u3001\u30e9\u30a4\u30f3\u6f14\u7b97\u5b50\u306e\u7a7a\u9593\u3068\u9023\u7d9a\u30d2\u30eb\u30d9\u30eb\u30c8\u7a7a\u9593\u306e\u5024\u3092\u5099\u3048\u305f\u7279\u5b9a\u306e\u6761\u4ef6\u3092\u6e80\u305f\u3057\u307e\u3059\u3002\u690d\u7269\u6027\u306e\u30b9\u30da\u30af\u30c8\u30eb\u6e2c\u5b9a\u5024\u306f\u3001\u30b9\u30da\u30af\u30c8\u30eb\u5b9a\u7406\u306e\u5b9a\u5f0f\u5316\u306b\u73fe\u308c\u307e\u3059\u3002 after-content-x4 \u3055\u305b\u3066 \u30d0\u30c4 {displaystyle x} \u30c8\u30dd\u30ed\u30b8\u30ab\u30eb\u7a7a\u9593\u306b\u306a\u308a\u307e\u3059\u3001 B\uff08 \u30d0\u30c4 \uff09\uff09 {displaystyle {mathcal {b}}\uff08x\uff09} \u3053\u308c\u306f\u3001\u3053\u306e\u30b9\u30da\u30fc\u30b9\u306e\u03c3-\u30dc\u30ec\u30eb\u306e\u30b3\u30ec\u30af\u30b7\u30e7\u30f3\u3092\u610f\u5473\u3057\u307e\u3059","datePublished":"2020-07-16","dateModified":"2020-07-16","author":{"@type":"Person","@id":"https:\/\/wiki.edu.vn\/all2jp\/wiki47\/archives\/author\/lordneo#Person","name":"lordneo","url":"https:\/\/wiki.edu.vn\/all2jp\/wiki47\/archives\/author\/lordneo","image":{"@type":"ImageObject","@id":"https:\/\/secure.gravatar.com\/avatar\/44a4cee54c4c053e967fe3e7d054edd4?s=96&d=mm&r=g","url":"https:\/\/secure.gravatar.com\/avatar\/44a4cee54c4c053e967fe3e7d054edd4?s=96&d=mm&r=g","height":96,"width":96}},"publisher":{"@type":"Organization","name":"Enzyklop\u00e4die","logo":{"@type":"ImageObject","@id":"https:\/\/wiki.edu.vn\/wiki4\/wp-content\/uploads\/2023\/08\/download.jpg","url":"https:\/\/wiki.edu.vn\/wiki4\/wp-content\/uploads\/2023\/08\/download.jpg","width":600,"height":60}},"image":{"@type":"ImageObject","@id":"https:\/\/wikimedia.org\/api\/rest_v1\/media\/math\/render\/svg\/68baa052181f707c662844a465bfeeb135e82bab","url":"https:\/\/wikimedia.org\/api\/rest_v1\/media\/math\/render\/svg\/68baa052181f707c662844a465bfeeb135e82bab","height":"","width":""},"url":"https:\/\/wiki.edu.vn\/all2jp\/wiki47\/archives\/3955","wordCount":4981,"articleBody":"     (adsbygoogle = window.adsbygoogle || []).push({});before-content-x4\u30a8\u30eb\u30df\u30bf\u30fc\u30b9\u30da\u30af\u30c8\u30eb\u6e2c\u5b9a \uff08\u307e\u305f 1\u3064\u306e\u8131\u819c\u5206\u5e03 \uff09 – \u7279\u5b9a\u306e\u30c8\u30dd\u30ed\u30b8\u30ab\u30eb\u7a7a\u9593\u306e\u30dc\u30ec\u30ed\u30a6\u30a3\u30b3\u30ec\u30af\u30b7\u30e7\u30f3\u306e\u03c3\u3067\u6c7a\u5b9a\u3055\u308c\u305f\u6dfb\u52a0\u5264\u30d9\u30af\u30c8\u30eb\u6e2c\u5b9a\u306e\u5909\u63db\u3068\u3001\u30e9\u30a4\u30f3\u6f14\u7b97\u5b50\u306e\u7a7a\u9593\u3068\u9023\u7d9a\u30d2\u30eb\u30d9\u30eb\u30c8\u7a7a\u9593\u306e\u5024\u3092\u5099\u3048\u305f\u7279\u5b9a\u306e\u6761\u4ef6\u3092\u6e80\u305f\u3057\u307e\u3059\u3002\u690d\u7269\u6027\u306e\u30b9\u30da\u30af\u30c8\u30eb\u6e2c\u5b9a\u5024\u306f\u3001\u30b9\u30da\u30af\u30c8\u30eb\u5b9a\u7406\u306e\u5b9a\u5f0f\u5316\u306b\u73fe\u308c\u307e\u3059\u3002        (adsbygoogle = window.adsbygoogle || []).push({});after-content-x4\u3055\u305b\u3066 \u30d0\u30c4 {displaystyle x} \u30c8\u30dd\u30ed\u30b8\u30ab\u30eb\u7a7a\u9593\u306b\u306a\u308a\u307e\u3059\u3001 B\uff08 \u30d0\u30c4 \uff09\uff09 {displaystyle {mathcal {b}}\uff08x\uff09} \u3053\u308c\u306f\u3001\u3053\u306e\u30b9\u30da\u30fc\u30b9\u306e\u03c3-\u30dc\u30ec\u30eb\u306e\u30b3\u30ec\u30af\u30b7\u30e7\u30f3\u3092\u610f\u5473\u3057\u307e\u3059        (adsbygoogle = window.adsbygoogle || []).push({});after-content-x4l \uff08 h \uff09\uff09 {displaystyle l\uff08h\uff09} \u78ba\u7acb\u3055\u308c\u305f\u30d2\u30eb\u30d9\u30eb\u30c8\u7a7a\u9593\u306e\u30e9\u30a4\u30f3\u3068\u9023\u7d9a\u6f14\u7b97\u5b50\u306e\u30b9\u30da\u30fc\u30b9\u3092\u610f\u5473\u3057\u307e\u3059 h \u3002 {displaystyle H.}  \u6a5f\u80fd \u3068 \uff1a B\uff08 \u30d0\u30c4 \uff09\uff09 \u2192 l \uff08 h \uff09\uff09 {displaystyle ecolon {mathcal {b}}\uff08x\uff09\u304b\u3089l\uff08h\uff09} \u96fb\u8a71\u3057\u307e\u3059 \u30b9\u30da\u30af\u30c8\u30eb\u30e1\u30b8\u30e3\u30fc\u3092\u5099\u3048\u305f\u30a8\u30eb\u30df\u30c8\u30c1\u30c3\u30af \u5b87\u5b99\u3067        (adsbygoogle = window.adsbygoogle || []).push({});after-content-x4\u30d0\u30c4 {displaystyle x} \uff08\u307e\u305f 1\u3064\u306e\u8131\u819c\u5206\u5e03 \uff09\u305d\u306e\u5f8c\u3001\u305d\u3057\u3066\u6b21\u306e\u5834\u5408\u306b\u306e\u307f \u3068 \uff08 b \uff09\uff09 {displaystyle e\uff08b\uff09} \u306e\u30bb\u30eb\u30d5\u30ed\u30fc\u30e9\u30fc\u30aa\u30da\u30ec\u30fc\u30bf\u30fc\u3067\u3059 b \u2208 B\uff08 \u30d0\u30c4 \uff09\uff09 \u3002 {displaystyle bin {mathcal {b}}\uff08x\uff09\u3002} \u3068 \uff08 \u30d0\u30c4 \uff09\uff09 = \u79c1 \u3001 {displaystyle e\uff08x\uff09= i\u3001} \u3068 \uff08 B1\u2229 B2\uff09\uff09 = \u3068 \uff08 B1\uff09\uff09 \u2218 \u3068 \uff08 B2\uff09\uff09 \u3001 B1\u3001 B2\u2208 B\uff08 \u30d0\u30c4 \uff09\uff09 {displaystyle e\uff08b_ {1} cap b_ {2}\uff09= e\uff08b_ {1}\uff09cirk e\uff08b_ {2}\uff09 \u95a2\u6570 b \u21a6 \u3068 \uff08 b \uff09\uff09 \u30d0\u30c4 \u3001 \u30d0\u30c4 \u2208 h \u3001 b \u2208 B\uff08 \u30d0\u30c4 \uff09\uff09 {displaystyle bmapsto e\uff08b\uff09x\u3001; xin h\u3001; bin {mathcal {b}}\uff08x\uff09} \u3053\u308c\u306f\u3001\u30b3\u30f3\u30d0\u30fc\u30b8\u30e7\u30f3\u88dc\u52a9\u30d9\u30af\u30c8\u30eb\u6e2c\u5b9a\u3067\u3059\u3002 \u3055\u305b\u3066 \u3068 \uff1a B\uff08 \u30d0\u30c4 \uff09\uff09 \u2192 l \uff08 h \uff09\uff09 {displaystyle ecolon {mathcal {b}}\uff08x\uff09\u304b\u3089l\uff08h\uff09} \u30c8\u30dd\u30ed\u30b8\u30ab\u30eb\u7a7a\u9593\u306e\u8131\u819c\u30b9\u30da\u30af\u30c8\u30eb\u5c3a\u5ea6\u306b\u306a\u308a\u307e\u3059 \u30d0\u30c4 \u3002 {displaystyle X.}  \u304a\u304a \uff08 g \uff09\uff09 \u30d0\u30c4 = \u222bXg \uff08 l \uff09\uff09 \u3068 \uff08 d l \uff09\uff09 \u30d0\u30c4 {displaystyle omega\uff08g\uff09x = int limits _ {x} g\uff08lambda\uff09e\uff08dlambda\uff09x} \u7dda\u5f62\u3067\u9023\u7d9a\u7684\u3067\u3059 g \uff08 \u30d0\u30c4 \uff09\uff09 \u2286 R\u3001 {displaystyle g\uff08x\uff09subseteq mathbb {r}\u3001} \u307e\u305f\u3001\u81ea\u5df1\u30ed\u30fc\u30eb\u3055\u308c\u3066\u3044\u307e\u3059\u3002\u52a0\u3048\u3066 \u2016 \u304a\u304a \uff08 g \uff09\uff09 \u2016 \u2a7d \u3059\u3059\u308b { |g \uff08 l \uff09\uff09 |\uff1a l \u2208 \u30d0\u30c4 } \u3001 \u2016 \u304a\u304a \uff08 g \uff09\uff09 \u20162= \u222bX|g \uff08 l \uff09\uff09 |2\u2016 \u3068 \uff08 d l \uff09\uff09 \u30d0\u30c4 \u20162\u3001 \u30d0\u30c4 \u2208 h {displaystyle | omega\uff08g\uff09| leqslant sup {| g\uff08lambda\uff09| colon lambda in x} \u3068 \u304a\u304a \uff08 g1\u3001 g2\uff09\uff09 = \u304a\u304a \uff08 g1\uff09\uff09 \u2218 \u304a\u304a \uff08 g2\uff09\uff09 {displaystyle omega\uff08g_ {1}\u3001g_ {2}\uff09= omega\uff08g_ {1}\uff09circe omega\uff08g_ {2}\uff09} \u305f\u3081\u306b g1\u3001 g2\uff1a \u30d0\u30c4 \u2192 C{displaystyle g_ {1}\u3001g_ {2} colon xto mathbb {c}} \u9650\u3089\u308c\u305fBorelowski\u95a2\u6570\u3002 \u222bXf \uff08 l \uff09\uff09 E1\uff08 d l \uff09\uff09 \u30d0\u30c4 = \u222bXf \uff08 l \uff09\uff09 E2\uff08 d l \uff09\uff09 \u30d0\u30c4 \u3001 \u30d0\u30c4 \u2208 h \u3001 {displaystyle int limits _ {x} f\uff08lambda\uff09e_ {1}\uff08dlambda\uff09x = int limits _ {x} f\uff08lambda\uff09e_ {2}\uff08dlambda\uff09x\u3001; xin h\u3001} \u306b E1= E2\u3002 {displaystyle e_ {1} = e_ {2}\u3002} \u30d2\u30eb\u30d0\u30fc\u30c8\u306e\u7a7a\u9593\u3092\u4eee\u5b9a\u3057\u307e\u3057\u3087\u3046 h {displaystyle h} \u305d\u308c\u306f\u4e2d\u5fc3\u7684\u3067\u7121\u9650\u306b\u5bf8\u6cd5\u3067\u3059\u3002\u6b21\u306b\u3001\u30aa\u30eb\u30bd\u30fc\u30de\u30eb\u30d9\u30fc\u30b9\u304c\u3042\u308a\u307e\u3059 \uff08 \u305d\u3046\u3067\u3059 n\uff09\uff09 n\u2208N{displaystyle\uff08e_ {n}\uff09_ {nin mathbb {n}}}} \u3053\u306e\u30b9\u30da\u30fc\u30b9\u3002\u3055\u3089\u306b\u3001\u3057\u307e\u3057\u3087\u3046 k \u2282 r {displaystyle ksubset mathbb {r}} \u30b3\u30f3\u30d1\u30af\u30c8\u30b3\u30ec\u30af\u30b7\u30e7\u30f3\u306b\u306a\u308a\u307e\u3059 \uff08 l n\uff09\uff09 n\u2208N{displaystyle\uff08lambda _ {n}\uff09_ {nin mathbb {n}}}}}} \u6b21\u306e\u3088\u3046\u306a\u3053\u306e\u30bb\u30c3\u30c8\u306e\u30dd\u30a4\u30f3\u30c8\u306e\u5fae\u5206\u30b7\u30fc\u30b1\u30f3\u30b9 cl{ \u03bbn\uff1a n \u2208 N} = k \u2260 { \u03bbn\uff1a n \u2208 N} \u3002 {displaystyle {mbox {cl}} {lambda _ {n} colon nin nin mathbb {n}} = kneq {lambda _ {n} colon nin mathbb {n}}}\u3002}}}} \u305d\u306e\u5f8c\u3001\u30aa\u30da\u30ec\u30fc\u30bf\u30fc l \uff1a h \u2192 h {DisplayStyle Lambda Colon Hto H} \u4e0e\u3048\u3089\u308c\u305f\u30d1\u30bf\u30fc\u30f3 l \u30d0\u30c4 = \u2211n=1\u221e\u03bbn\uff08 \u30d0\u30c4 |en\uff09\uff09 en\u3053\u306eylepent laetemobol\u306b\u3064\u3044\u3066\u8a71\u3057\u5408\u3044\u307e\u3059 \u30bb\u30eb\u30d5\u30ed\u30fc\u30eb\u30aa\u30da\u30ec\u30fc\u30bf\u30fc\u3068\u305d\u306e\u30b9\u30da\u30af\u30bf\u30fc\u3067\u3059 a \uff08 l \uff09\uff09 = k \u3002 {displaystyle sigma\uff08lambda\uff09= k\u3002}  \u95a2\u6570 \u3068 \uff1a B\uff08 \u30d0\u30c4 \uff09\uff09 \u2192 l \uff08 h \uff09\uff09 {displaystyle ecolon {mathcal {b}}\uff08x\uff09\u304b\u3089l\uff08h\uff09} \u4e0e\u3048\u3089\u308c\u305f\u30d1\u30bf\u30fc\u30f3 \u3068 \uff08 b \uff09\uff09 \u30d0\u30c4 = \u2211n=1\u221e1B\uff08 \u03bbn\uff09\uff09 \uff08 \u30d0\u30c4 |en\uff09\uff09 en\u3001 \u30d0\u30c4 \u2208 h \u3001 mm\u5974\u96b7it\uff08b\uff09\u30de\u30e0mm hofi m hubbe m huber mh\u00e9hk\uff09mupe\uff09mupe\uff09\uff1a \u3069\u3053 1\u22c5{displaystyle mathbf {1} _ {cdot}} \u7279\u5fb4\u7684\u306a\u95a2\u6570\u3092\u610f\u5473\u3057\u307e\u3059\u3002 l \u30d0\u30c4 = \u222b\u03c3(\u039b)l \u3068 \uff08 d l \uff09\uff09 \u30d0\u30c4 \u3001 \u30d0\u30c4 \u2208 h \u3002 {displaystyle lambda x = int limits _ {sigma\uff08lambda\uff09} lambda e\uff08dlambda\uff09x\u3001; xin h\u3002} Krzysztof Maurin\uff1a \u30d2\u30eb\u30d9\u30eb\u30c8\u30b9\u30da\u30fc\u30b9\u306e\u65b9\u6cd5 \u3002\u30ef\u30eb\u30b7\u30e3\u30ef\uff1aPWN\u30011972\u5e74\u3002       (adsbygoogle = window.adsbygoogle || []).push({});after-content-x4"},{"@context":"http:\/\/schema.org\/","@type":"BreadcrumbList","itemListElement":[{"@type":"ListItem","position":1,"item":{"@id":"https:\/\/wiki.edu.vn\/all2jp\/wiki47\/#breadcrumbitem","name":"Enzyklop\u00e4die"}},{"@type":"ListItem","position":2,"item":{"@id":"https:\/\/wiki.edu.vn\/all2jp\/wiki47\/archives\/3955#breadcrumbitem","name":"Hermitic Spectral Measure -Wikipedia\u3001\u7121\u6599\u767e\u79d1\u4e8b\u5178"}}]}]