mathematics

Ola Bratteli

Ola Bratteli is a mathematics topic covered in the lgStudy science library. This page brings together a partial reference excerpt, illustrations, worked examples, real-world applications and a short study plan, so you can understand Ola Bratteli rather than just read about it. In short: Ola Bratteli (24 October 1946 – 8 February 2015) was a Norwegian mathematician. He was a son of Trygve Bratteli and Randi Bratteli (née Larssen).

Key takeaways

Ola Bratteli belongs to mathematics; place it in that map before memorising details.
Learn the definition first, then one example that makes the definition concrete.
Connect Ola Bratteli to a quantity you can measure, compute or draw — that is where exam questions come from.
Reproduce the core statement of Ola Bratteli from memory before moving on to harder problems.

Reference excerpt

Ola Bratteli (24 October 1946 – 8 February 2015) was a Norwegian mathematician. He was a son of Trygve Bratteli and Randi Bratteli (née Larssen). He received a PhD degree in 1974. He was appointed as professor at the University of Trondheim in 1980 and at the University of Oslo in 1991. He was a member of the Norwegian Academy of Science and Letters.

Selected works with Derek W. Robinson: Operator Algebras and Quantum Statistical Mechanics (Springer-Verlag, 2 volumes, 1980) Derivations, Dissipations and Group Actions on C*-algebras (Springer-Verlag, 1986) with Palle T. Jørgensen: Wavelets through a looking glass, the world of the spectrum (Birkhäuser, 2002)

See also Approximately finite-dimensional C*-algebra Bratteli diagram Bratteli–Vershik diagram

References

Illustrations

Worked examples

Example 1 — a first encounter with Ola Bratteli

Start with the simplest possible case. Write down what Ola Bratteli claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In mathematics, the smallest case is usually a single object, a single equation or a single measurement. Check that every symbol or term in your sentence has a meaning in that case.

Example 2 — changing one variable

Take the situation from Example 1 and change exactly one quantity: double it, halve it, or set it to zero. Predict what should happen to Ola Bratteli before you calculate. Comparing your prediction with the result is the fastest way to find out whether you understand the idea or only the words.

Example 3 — an exam-style question

Typical questions about Ola Bratteli ask you to (a) state it precisely, (b) apply it to given data, and (c) explain a limitation. Practise writing all three answers in under five minutes; the third part is what separates a full-mark answer from an average one.

Applications of Ola Bratteli

In research: Ola Bratteli appears in mathematics research whenever the underlying quantities have to be modelled precisely. Papers usually cite it as a starting assumption and then explore where it breaks down.
In technology and industry: Engineering practice reuses Ola Bratteli in design rules, simulations and safety margins. Knowing the idea lets you read a specification sheet and understand why the numbers look the way they do.
In the classroom: Ola Bratteli is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1946 births, 2015 deaths, Academic staff of the Norwegian University of Science and Technology, so understanding it makes those chapters shorter.
In everyday life: Look for Ola Bratteli outside the textbook — in sport, cooking, traffic, electronics or the sky above you. An example you found yourself is remembered far longer than one you were given.

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How to study Ola Bratteli in 20 minutes

Read the reference excerpt below once, without taking notes.
Close the page and write down what Ola Bratteli means in your own words.
Compare your version with the excerpt and mark what you missed.
Work through the three examples above with pen and paper.
Explain Ola Bratteli out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Ola Bratteli in simple terms?

Ola Bratteli (24 October 1946 – 8 February 2015) was a Norwegian mathematician. He was a son of Trygve Bratteli and Randi Bratteli (née Larssen).

Why does Ola Bratteli matter?

Because it connects several mathematics ideas at once: it gives you a definition you can apply, a quantity you can calculate, and a way to check whether a result is plausible.

How should I study Ola Bratteli?

Read the excerpt, restate it from memory, then work through the examples and applications listed on this page. The five-step study plan above takes about twenty minutes.

What does this page cover?

It gives you a compact reference excerpt plus original lgStudy explanations, examples, applications and study material on Ola Bratteli.